The sixth grade got two-fifths of these books, and the school is going to put 560 books.

So the sixth grade received 560/5*2=224 copies.

The remaining books are ***336.

The rest will be lent to the May 4th grade according to the score of 2: 1.

Then the fifth grade was assigned to 224 books and the fourth grade was assigned to 1 12 books.

So the fourth grade was assigned to 1 12 books, the fifth grade was assigned to 224 books, and the sixth grade has been receiving 224 books.