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Finding the Fourth Proportional to 624.57, 861.75 and 567.14

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Solution

The fourth proportional to 624.57, 861.75 and 567.14 is: 782.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.57 : 861.75 = 567.14 : x
  2. Step 2: Convert to fraction form
    624.57/861.75 = 567.14/x
  3. Step 3: Cross multiply
    624.57x = 861.75 × 567.14
  4. Step 4: Simplify right side
    624.57x = 488,732.90
  5. Step 5: Solve for x
    x = 488,732.90/624.57
  6. Step 6: Final answer
    x = 782.51

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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.