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Finding the Fourth Proportional to 709.34, 978.39 and 447.17

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Solution

The fourth proportional to 709.34, 978.39 and 447.17 is: 616.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.34 : 978.39 = 447.17 : x
  2. Step 2: Convert to fraction form
    709.34/978.39 = 447.17/x
  3. Step 3: Cross multiply
    709.34x = 978.39 × 447.17
  4. Step 4: Simplify right side
    709.34x = 437,501.76
  5. Step 5: Solve for x
    x = 437,501.76/709.34
  6. Step 6: Final answer
    x = 616.78

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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.