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Finding the Fourth Proportional to 686.47, 947.33 and 391.73

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Solution

The fourth proportional to 686.47, 947.33 and 391.73 is: 540.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.47 : 947.33 = 391.73 : x
  2. Step 2: Convert to fraction form
    686.47/947.33 = 391.73/x
  3. Step 3: Cross multiply
    686.47x = 947.33 × 391.73
  4. Step 4: Simplify right side
    686.47x = 371,095.62
  5. Step 5: Solve for x
    x = 371,095.62/686.47
  6. Step 6: Final answer
    x = 540.59

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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.