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Finding the Fourth Proportional to 709.46, 979 and 414.71

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Solution

The fourth proportional to 709.46, 979 and 414.71 is: 572.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.46 : 979 = 414.71 : x
  2. Step 2: Convert to fraction form
    709.46/979 = 414.71/x
  3. Step 3: Cross multiply
    709.46x = 979 × 414.71
  4. Step 4: Simplify right side
    709.46x = 406,001.09
  5. Step 5: Solve for x
    x = 406,001.09/709.46
  6. Step 6: Final answer
    x = 572.27

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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.