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Finding the Fourth Proportional to 717.34, 989.97 and 542.38

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Solution

The fourth proportional to 717.34, 989.97 and 542.38 is: 748.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.34 : 989.97 = 542.38 : x
  2. Step 2: Convert to fraction form
    717.34/989.97 = 542.38/x
  3. Step 3: Cross multiply
    717.34x = 989.97 × 542.38
  4. Step 4: Simplify right side
    717.34x = 536,939.93
  5. Step 5: Solve for x
    x = 536,939.93/717.34
  6. Step 6: Final answer
    x = 748.52

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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.