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Finding the Fourth Proportional to 980.97, 1,471.68 and 331.70

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Solution

The fourth proportional to 980.97, 1,471.68 and 331.70 is: 497.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.97 : 1,471.68 = 331.70 : x
  2. Step 2: Convert to fraction form
    980.97/1,471.68 = 331.70/x
  3. Step 3: Cross multiply
    980.97x = 1,471.68 × 331.70
  4. Step 4: Simplify right side
    980.97x = 488,148.90
  5. Step 5: Solve for x
    x = 488,148.90/980.97
  6. Step 6: Final answer
    x = 497.62

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