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Finding the Fourth Proportional to 709.60, 979.01 and 429.73

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Solution

The fourth proportional to 709.60, 979.01 and 429.73 is: 592.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.60 : 979.01 = 429.73 : x
  2. Step 2: Convert to fraction form
    709.60/979.01 = 429.73/x
  3. Step 3: Cross multiply
    709.60x = 979.01 × 429.73
  4. Step 4: Simplify right side
    709.60x = 420,709.97
  5. Step 5: Solve for x
    x = 420,709.97/709.60
  6. Step 6: Final answer
    x = 592.88

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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.