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Finding the Fourth Proportional to 616.72, 924.52 and 473.08

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Solution

The fourth proportional to 616.72, 924.52 and 473.08 is: 709.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.72 : 924.52 = 473.08 : x
  2. Step 2: Convert to fraction form
    616.72/924.52 = 473.08/x
  3. Step 3: Cross multiply
    616.72x = 924.52 × 473.08
  4. Step 4: Simplify right side
    616.72x = 437,371.92
  5. Step 5: Solve for x
    x = 437,371.92/616.72
  6. Step 6: Final answer
    x = 709.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.