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Finding the Fourth Proportional to 542.75, 749.03 and 523.14

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Solution

The fourth proportional to 542.75, 749.03 and 523.14 is: 721.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.75 : 749.03 = 523.14 : x
  2. Step 2: Convert to fraction form
    542.75/749.03 = 523.14/x
  3. Step 3: Cross multiply
    542.75x = 749.03 × 523.14
  4. Step 4: Simplify right side
    542.75x = 391,847.81
  5. Step 5: Solve for x
    x = 391,847.81/542.75
  6. Step 6: Final answer
    x = 721.97

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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.