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Finding the Fourth Proportional to 425.24, 587.52 and 392.43

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Solution

The fourth proportional to 425.24, 587.52 and 392.43 is: 542.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.24 : 587.52 = 392.43 : x
  2. Step 2: Convert to fraction form
    425.24/587.52 = 392.43/x
  3. Step 3: Cross multiply
    425.24x = 587.52 × 392.43
  4. Step 4: Simplify right side
    425.24x = 230,560.47
  5. Step 5: Solve for x
    x = 230,560.47/425.24
  6. Step 6: Final answer
    x = 542.19

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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.