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Finding the Fourth Proportional to 500.08, 688.82 and 471.56

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Solution

The fourth proportional to 500.08, 688.82 and 471.56 is: 649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.08 : 688.82 = 471.56 : x
  2. Step 2: Convert to fraction form
    500.08/688.82 = 471.56/x
  3. Step 3: Cross multiply
    500.08x = 688.82 × 471.56
  4. Step 4: Simplify right side
    500.08x = 324,819.96
  5. Step 5: Solve for x
    x = 324,819.96/500.08
  6. Step 6: Final answer
    x = 649.54

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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.