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Finding the Fourth Proportional to 656.14, 984.81 and 331.73

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Solution

The fourth proportional to 656.14, 984.81 and 331.73 is: 497.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.14 : 984.81 = 331.73 : x
  2. Step 2: Convert to fraction form
    656.14/984.81 = 331.73/x
  3. Step 3: Cross multiply
    656.14x = 984.81 × 331.73
  4. Step 4: Simplify right side
    656.14x = 326,691.85
  5. Step 5: Solve for x
    x = 326,691.85/656.14
  6. Step 6: Final answer
    x = 497.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.