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Finding the Fourth Proportional to 709.68, 979.14 and 414.88

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Solution

The fourth proportional to 709.68, 979.14 and 414.88 is: 572.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.68 : 979.14 = 414.88 : x
  2. Step 2: Convert to fraction form
    709.68/979.14 = 414.88/x
  3. Step 3: Cross multiply
    709.68x = 979.14 × 414.88
  4. Step 4: Simplify right side
    709.68x = 406,225.60
  5. Step 5: Solve for x
    x = 406,225.60/709.68
  6. Step 6: Final answer
    x = 572.41

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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.