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Finding the Fourth Proportional to 732.25, 1,098.38 and 219.25

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Solution

The fourth proportional to 732.25, 1,098.38 and 219.25 is: 328.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.25 : 1,098.38 = 219.25 : x
  2. Step 2: Convert to fraction form
    732.25/1,098.38 = 219.25/x
  3. Step 3: Cross multiply
    732.25x = 1,098.38 × 219.25
  4. Step 4: Simplify right side
    732.25x = 240,819.82
  5. Step 5: Solve for x
    x = 240,819.82/732.25
  6. Step 6: Final answer
    x = 328.88

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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.