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Finding the Fourth Proportional to 980.29, 1,470.48 and 249.87

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Solution

The fourth proportional to 980.29, 1,470.48 and 249.87 is: 374.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.29 : 1,470.48 = 249.87 : x
  2. Step 2: Convert to fraction form
    980.29/1,470.48 = 249.87/x
  3. Step 3: Cross multiply
    980.29x = 1,470.48 × 249.87
  4. Step 4: Simplify right side
    980.29x = 367,428.84
  5. Step 5: Solve for x
    x = 367,428.84/980.29
  6. Step 6: Final answer
    x = 374.82

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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.