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Finding the Fourth Proportional to 686.11, 946.89 and 391.36

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Solution

The fourth proportional to 686.11, 946.89 and 391.36 is: 540.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.11 : 946.89 = 391.36 : x
  2. Step 2: Convert to fraction form
    686.11/946.89 = 391.36/x
  3. Step 3: Cross multiply
    686.11x = 946.89 × 391.36
  4. Step 4: Simplify right side
    686.11x = 370,574.87
  5. Step 5: Solve for x
    x = 370,574.87/686.11
  6. Step 6: Final answer
    x = 540.11

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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.