Dating the reign of solomon
By subtracting the 410 years from Paul’s 450 years it is clear that Samuel’s judgeship was 40 years.
The statement in Judges 13:1 needs to be understood as being two separate periods of 20 years, giving a total of 40 years.
And afterword they asked for a king; so God gave them Saul the son of Kish, a man of the tribe of Benjamin, for forty years.” Paul has bracketed the 450 years of the Judges between two events, leaving no doubt about the historical period that he applied to the 450 years.
The 480 years of I Kings 6:1 is believed to be an exact passage of time from the exodus to the start of Solomon’s temple, but fails to take into account other scriptures, delineating a different time line that would not allow the 480 years.’ And he pushed with all his might and the temple fell on all the lords and all the people in it.So the dead that were killed at his death were more than he killed in his life.’” The result was the rise of Samuel to the judgeship of Israel, and the defeat of the Philistines.And when He had destroyed seven nations in the land of Canaan, He distributed their land to them by allotment.
After that He gave them judges for about 450 years, until Samuel the prophet.
Once this period of time is seen as the years in which Israel functioned as an independent nation under God’s government the problem is solved.