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Finding the Fourth Proportional to 686.17, 946.65 and 391.33

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Solution

The fourth proportional to 686.17, 946.65 and 391.33 is: 539.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.17 : 946.65 = 391.33 : x
  2. Step 2: Convert to fraction form
    686.17/946.65 = 391.33/x
  3. Step 3: Cross multiply
    686.17x = 946.65 × 391.33
  4. Step 4: Simplify right side
    686.17x = 370,452.54
  5. Step 5: Solve for x
    x = 370,452.54/686.17
  6. Step 6: Final answer
    x = 539.88

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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.