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Finding the Fourth Proportional to 625.81, 863.31 and 542.80

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Solution

The fourth proportional to 625.81, 863.31 and 542.80 is: 748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.81 : 863.31 = 542.80 : x
  2. Step 2: Convert to fraction form
    625.81/863.31 = 542.80/x
  3. Step 3: Cross multiply
    625.81x = 863.31 × 542.80
  4. Step 4: Simplify right side
    625.81x = 468,604.67
  5. Step 5: Solve for x
    x = 468,604.67/625.81
  6. Step 6: Final answer
    x = 748.80

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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.