Given:
- Length of cloth available = 316.25m
- Number of shirts to be stitched = 17

To Find:
- Cloth required to stitch 24 shirts

Solution:
To find the cloth required to stitch 24 shirts, we can use the concept of proportionality. Since we know the cloth required for 17 shirts, we can calculate the cloth required for 24 shirts using the given information.

Step 1: Calculate the cloth required for 1 shirt
To find the cloth required for 1 shirt, we divide the total cloth available by the number of shirts.
Cloth required for 1 shirt = Length of cloth available / Number of shirts
Cloth required for 1 shirt = 316.25m / 17
Cloth required for 1 shirt ≈ 18.6m (rounded to one decimal place)

Step 2: Calculate the cloth required for 24 shirts
Now that we know the cloth required for 1 shirt, we can calculate the cloth required for 24 shirts by multiplying the cloth required for 1 shirt by 24.
Cloth required for 24 shirts = Cloth required for 1 shirt * Number of shirts
Cloth required for 24 shirts ≈ 18.6m * 24
Cloth required for 24 shirts ≈ 446.4m (rounded to one decimal place)

Therefore, to stitch 24 shirts, approximately 446.4 meters of cloth is required.

Summary:
- Cloth required for 1 shirt = 18.6m (rounded to one decimal place)
- Cloth required for 24 shirts = 446.4m (rounded to one decimal place)

446.47 m.