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Finding the Fourth Proportional to 709.54, 979.14 and 415

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Solution

The fourth proportional to 709.54, 979.14 and 415 is: 572.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.54 : 979.14 = 415 : x
  2. Step 2: Convert to fraction form
    709.54/979.14 = 415/x
  3. Step 3: Cross multiply
    709.54x = 979.14 × 415
  4. Step 4: Simplify right side
    709.54x = 406,343.10
  5. Step 5: Solve for x
    x = 406,343.10/709.54
  6. Step 6: Final answer
    x = 572.69

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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.