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Finding the Fourth Proportional to 709.59, 979.26 and 414.96

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Solution

The fourth proportional to 709.59, 979.26 and 414.96 is: 572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.59 : 979.26 = 414.96 : x
  2. Step 2: Convert to fraction form
    709.59/979.26 = 414.96/x
  3. Step 3: Cross multiply
    709.59x = 979.26 × 414.96
  4. Step 4: Simplify right side
    709.59x = 406,353.73
  5. Step 5: Solve for x
    x = 406,353.73/709.59
  6. Step 6: Final answer
    x = 572.66

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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.