Step 1 :Given the multiplication of two fractions: \(\frac{0.414}{0.23} \times \frac{100}{100} = \frac{41.4}{\square}\)
Step 2 :The second fraction is essentially 1, so the result of the multiplication is the same as the first fraction.
Step 3 :Set up an equation where the first fraction is equal to 41.4 divided by the unknown number.
Step 4 :Solving this equation will give us the unknown number.
Step 5 :Perform the calculation: \(\frac{0.414}{0.23} = \frac{41.4}{\square}\)
Step 6 :Solving for \(\square\), we get \(\square = 23\)
Step 7 :Final Answer: The unknown number in the fraction is \(\boxed{23}\)