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Finding the Fourth Proportional to 709.84, 979.56 and 415.12

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Solution

The fourth proportional to 709.84, 979.56 and 415.12 is: 572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.84 : 979.56 = 415.12 : x
  2. Step 2: Convert to fraction form
    709.84/979.56 = 415.12/x
  3. Step 3: Cross multiply
    709.84x = 979.56 × 415.12
  4. Step 4: Simplify right side
    709.84x = 406,634.95
  5. Step 5: Solve for x
    x = 406,634.95/709.84
  6. Step 6: Final answer
    x = 572.85

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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.