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Finding the Fourth Proportional to 732.33, 1,097.72 and 269.81

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Solution

The fourth proportional to 732.33, 1,097.72 and 269.81 is: 404.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.33 : 1,097.72 = 269.81 : x
  2. Step 2: Convert to fraction form
    732.33/1,097.72 = 269.81/x
  3. Step 3: Cross multiply
    732.33x = 1,097.72 × 269.81
  4. Step 4: Simplify right side
    732.33x = 296,175.67
  5. Step 5: Solve for x
    x = 296,175.67/732.33
  6. Step 6: Final answer
    x = 404.43

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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.