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Finding the Fourth Proportional to 732.15, 1,098.17 and 293.38

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Solution

The fourth proportional to 732.15, 1,098.17 and 293.38 is: 440.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.15 : 1,098.17 = 293.38 : x
  2. Step 2: Convert to fraction form
    732.15/1,098.17 = 293.38/x
  3. Step 3: Cross multiply
    732.15x = 1,098.17 × 293.38
  4. Step 4: Simplify right side
    732.15x = 322,186.14
  5. Step 5: Solve for x
    x = 322,186.14/732.15
  6. Step 6: Final answer
    x = 440.05

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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.