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Finding the Fourth Proportional to 709.63, 979.15 and 414.82

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Solution

The fourth proportional to 709.63, 979.15 and 414.82 is: 572.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.63 : 979.15 = 414.82 : x
  2. Step 2: Convert to fraction form
    709.63/979.15 = 414.82/x
  3. Step 3: Cross multiply
    709.63x = 979.15 × 414.82
  4. Step 4: Simplify right side
    709.63x = 406,169.97
  5. Step 5: Solve for x
    x = 406,169.97/709.63
  6. Step 6: Final answer
    x = 572.37

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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.