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Finding the Fourth Proportional to 624.16, 861.96 and 514

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Solution

The fourth proportional to 624.16, 861.96 and 514 is: 709.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.16 : 861.96 = 514 : x
  2. Step 2: Convert to fraction form
    624.16/861.96 = 514/x
  3. Step 3: Cross multiply
    624.16x = 861.96 × 514
  4. Step 4: Simplify right side
    624.16x = 443,047.44
  5. Step 5: Solve for x
    x = 443,047.44/624.16
  6. Step 6: Final answer
    x = 709.83

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Why These Related Problems?

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