Though permission was given to rebuild in the Jewish month of Nisan, in the early part of the year,it didn't take effect until months later when Nehemiah arrived in Jerusalem and began the work of restoration. Since he was further away than Ezra was,it took him longer to travel as he was in Shushan 200 miles east of Babylon.Most likely,Nehemiah arrived in Jerusalem near the end of Artaxerxes 20th year,455 b.c. It is then that the ''seventy weeks'' or 490 years, began.

So,the 490 years would end in the latter part of the year 36 a.d. The first ''seven weeks'' or 49 years cover the time of rebuilding etc. until 406 b.c. Next,the ''sixty- two weeks'' making a total of 69 weeks or 483 years,takes us to ''Messiah the Leader''. Including part of 455 b.c. and part of the final year, this would extend into the year 29 a.d. when Jesus was baptised.Gospel writer Luke says ''In the fifteenth year of the reign of Tiberius Caesar...John... came into all the country around Jordan

Kindly wait until I've finished, elijah2. John was preaching baptism in symbol of repentance of sins.Now,the 15th year of Tiberius was 29 a.d. and John was 6months older than his cousin,Jesus. Jesus came a few months later, to be baptised,at the age of ''about thirty years old''. Also, the people ''were in expectation'' of the Messiah's appearance - Luke 3:1,2,15, and 23

So,the calculations both match,to 29 a.d. being the year of the Messiah's appearance ie. his public baptism. As for Artaxerxes,the evidence of inscriptions and sculptures unearthed, indicate a coregency between Xerxes, his father,and Darius I. If this covered 10 years and Xerxes ruled alone for 11 years after Darius died in 486 b.c., then the first year of Artaxerxes would have been 474 b.c.

Again,Athenian General Themistocles defeated Xerxes' forces in 480 b.c. He later fell out of favour with the Greeks and sought protection at the Persian court, where he was well recieved. This happened when Artaxerxes had but ''lately come to the throne'' according to the Greek historian Thucydides.The Greek historian Diodorus Siculus puts the death of the General at 471 b.c. He had requested a year to learn Persian before having an audience with Artaxerxes,so must have arrived no later than 473 b.c.

473 b.c. is also supported by Jerome's 'Chronicle Of Eusebius'. Also, German scholar Ernst Hengstenberg said that the reign of Artaxerxes commenced in 474 b.c. in his 'Christology of the Old Testament' as do other sources. He added ''The twentieth year of Artaxerxes is the year 455 before Christ''

Are you sure you are not making a mistake in the year that Artaxerxes began to reign?

Because you say it's 474 B.C. But the History books say it's 464 B.C. Maybe that 7 you have there should be a 6

Artaxerxes Persian king began his reign in 464 B.C.

According to the Encyclopedia Britannica,
ARTAXERXES I - king of Persia Whose real name was, Achaemenid king of Persia (reigned 465 to 425 bc).
He was surnamed in Greek Macrocheir (Longhand) and in Latin Longim . A younger son of Xerxes I and Amestris, he was raised to the throne by the commander of the guard, Artab , who had murdered Xerxes.