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Finding the Fourth Proportional to 686.34, 947.43 and 476.82

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Solution

The fourth proportional to 686.34, 947.43 and 476.82 is: 658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.34 : 947.43 = 476.82 : x
  2. Step 2: Convert to fraction form
    686.34/947.43 = 476.82/x
  3. Step 3: Cross multiply
    686.34x = 947.43 × 476.82
  4. Step 4: Simplify right side
    686.34x = 451,753.57
  5. Step 5: Solve for x
    x = 451,753.57/686.34
  6. Step 6: Final answer
    x = 658.21

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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.