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Finding the Fourth Proportional to 657.56, 906.51 and 447.41

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Solution

The fourth proportional to 657.56, 906.51 and 447.41 is: 616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.56 : 906.51 = 447.41 : x
  2. Step 2: Convert to fraction form
    657.56/906.51 = 447.41/x
  3. Step 3: Cross multiply
    657.56x = 906.51 × 447.41
  4. Step 4: Simplify right side
    657.56x = 405,577.11
  5. Step 5: Solve for x
    x = 405,577.11/657.56
  6. Step 6: Final answer
    x = 616.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.