We are given that the exact value for the length of a bolt is 4.75 in. If the final measure is 4.769 then we can find the percentage of error by applying the following formula:

Where "x" is the error. Now we solve for "x". First by subtracting N real on both sides, like this:

Now we divide by N real

Now we multiply by 100 both sides:

Replacing the values:

Solving the operations:


Therefore, the error is +0.4%