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Finding the Fourth Proportional to 429.60, 593.97 and 392.70

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Solution

The fourth proportional to 429.60, 593.97 and 392.70 is: 542.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.60 : 593.97 = 392.70 : x
  2. Step 2: Convert to fraction form
    429.60/593.97 = 392.70/x
  3. Step 3: Cross multiply
    429.60x = 593.97 × 392.70
  4. Step 4: Simplify right side
    429.60x = 233,252.02
  5. Step 5: Solve for x
    x = 233,252.02/429.60
  6. Step 6: Final answer
    x = 542.95

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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.