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Finding the Fourth Proportional to 624.59, 861.72 and 415.16

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Solution

The fourth proportional to 624.59, 861.72 and 415.16 is: 572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.59 : 861.72 = 415.16 : x
  2. Step 2: Convert to fraction form
    624.59/861.72 = 415.16/x
  3. Step 3: Cross multiply
    624.59x = 861.72 × 415.16
  4. Step 4: Simplify right side
    624.59x = 357,751.68
  5. Step 5: Solve for x
    x = 357,751.68/624.59
  6. Step 6: Final answer
    x = 572.78

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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.