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Finding the Fourth Proportional to 656.60, 984.92 and 331.78

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Solution

The fourth proportional to 656.60, 984.92 and 331.78 is: 497.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.60 : 984.92 = 331.78 : x
  2. Step 2: Convert to fraction form
    656.60/984.92 = 331.78/x
  3. Step 3: Cross multiply
    656.60x = 984.92 × 331.78
  4. Step 4: Simplify right side
    656.60x = 326,776.76
  5. Step 5: Solve for x
    x = 326,776.76/656.60
  6. Step 6: Final answer
    x = 497.68

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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.