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Finding the Fourth Proportional to 574.13, 859.97 and 542.18

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Solution

The fourth proportional to 574.13, 859.97 and 542.18 is: 812.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.13 : 859.97 = 542.18 : x
  2. Step 2: Convert to fraction form
    574.13/859.97 = 542.18/x
  3. Step 3: Cross multiply
    574.13x = 859.97 × 542.18
  4. Step 4: Simplify right side
    574.13x = 466,251.52
  5. Step 5: Solve for x
    x = 466,251.52/574.13
  6. Step 6: Final answer
    x = 812.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.