From qatsah; a termination (literally or figuratively); also (by implication) a portion; adverbially (with prepositional prefix) after -- end, part, X some.
KJV: And the king appointed them a daily provision of the king's meat, and of the wine which he drank: so nourishing them three years, that at the end thereof they might stand before the king.
NASB: The king appointed for them a daily ration from the king's choice food and from the wine which he drank, and appointed that they should be educated three years, at the end of which they were to enter the king's personal service.
KJV: And at the end of ten days their countenances appeared fairer and fatter in flesh than all the children which did eat the portion of the king's meat.
NASB: At the end of ten days their appearance seemed better and they were fatter than all the youths who had been eating the king's choice food.