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Finding the Fourth Proportional to 686.35, 947.08 and 406.52

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Solution

The fourth proportional to 686.35, 947.08 and 406.52 is: 560.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.35 : 947.08 = 406.52 : x
  2. Step 2: Convert to fraction form
    686.35/947.08 = 406.52/x
  3. Step 3: Cross multiply
    686.35x = 947.08 × 406.52
  4. Step 4: Simplify right side
    686.35x = 385,005.71
  5. Step 5: Solve for x
    x = 385,005.71/686.35
  6. Step 6: Final answer
    x = 560.95

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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.