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Finding the Fourth Proportional to 732.11, 1,098.60 and 270.21

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Solution

The fourth proportional to 732.11, 1,098.60 and 270.21 is: 405.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.11 : 1,098.60 = 270.21 : x
  2. Step 2: Convert to fraction form
    732.11/1,098.60 = 270.21/x
  3. Step 3: Cross multiply
    732.11x = 1,098.60 × 270.21
  4. Step 4: Simplify right side
    732.11x = 296,855.81
  5. Step 5: Solve for x
    x = 296,855.81/732.11
  6. Step 6: Final answer
    x = 405.48

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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.