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Finding the Fourth Proportional to 542.10, 748.23 and 524.80

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Solution

The fourth proportional to 542.10, 748.23 and 524.80 is: 724.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.10 : 748.23 = 524.80 : x
  2. Step 2: Convert to fraction form
    542.10/748.23 = 524.80/x
  3. Step 3: Cross multiply
    542.10x = 748.23 × 524.80
  4. Step 4: Simplify right side
    542.10x = 392,671.10
  5. Step 5: Solve for x
    x = 392,671.10/542.10
  6. Step 6: Final answer
    x = 724.35

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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.