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Finding the Fourth Proportional to 417.52, 624.39 and 355.96

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Solution

The fourth proportional to 417.52, 624.39 and 355.96 is: 532.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.52 : 624.39 = 355.96 : x
  2. Step 2: Convert to fraction form
    417.52/624.39 = 355.96/x
  3. Step 3: Cross multiply
    417.52x = 624.39 × 355.96
  4. Step 4: Simplify right side
    417.52x = 222,257.86
  5. Step 5: Solve for x
    x = 222,257.86/417.52
  6. Step 6: Final answer
    x = 532.33

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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.