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Finding the Fourth Proportional to 709.75, 979.49 and 414.97

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Solution

The fourth proportional to 709.75, 979.49 and 414.97 is: 572.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.75 : 979.49 = 414.97 : x
  2. Step 2: Convert to fraction form
    709.75/979.49 = 414.97/x
  3. Step 3: Cross multiply
    709.75x = 979.49 × 414.97
  4. Step 4: Simplify right side
    709.75x = 406,456.89
  5. Step 5: Solve for x
    x = 406,456.89/709.75
  6. Step 6: Final answer
    x = 572.68

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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.