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Finding the Fourth Proportional to 542.43, 748.15 and 392.84

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Solution

The fourth proportional to 542.43, 748.15 and 392.84 is: 541.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.43 : 748.15 = 392.84 : x
  2. Step 2: Convert to fraction form
    542.43/748.15 = 392.84/x
  3. Step 3: Cross multiply
    542.43x = 748.15 × 392.84
  4. Step 4: Simplify right side
    542.43x = 293,903.25
  5. Step 5: Solve for x
    x = 293,903.25/542.43
  6. Step 6: Final answer
    x = 541.83

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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.