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Finding the Fourth Proportional to 625.80, 861.94 and 542.60

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Solution

The fourth proportional to 625.80, 861.94 and 542.60 is: 747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.80 : 861.94 = 542.60 : x
  2. Step 2: Convert to fraction form
    625.80/861.94 = 542.60/x
  3. Step 3: Cross multiply
    625.80x = 861.94 × 542.60
  4. Step 4: Simplify right side
    625.80x = 467,688.64
  5. Step 5: Solve for x
    x = 467,688.64/625.80
  6. Step 6: Final answer
    x = 747.35

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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.