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Finding the Fourth Proportional to 686.53, 947.41 and 383.70

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Solution

The fourth proportional to 686.53, 947.41 and 383.70 is: 529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.53 : 947.41 = 383.70 : x
  2. Step 2: Convert to fraction form
    686.53/947.41 = 383.70/x
  3. Step 3: Cross multiply
    686.53x = 947.41 × 383.70
  4. Step 4: Simplify right side
    686.53x = 363,517.66
  5. Step 5: Solve for x
    x = 363,517.66/686.53
  6. Step 6: Final answer
    x = 529.50

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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.