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Finding the Fourth Proportional to 732.26, 1,098.46 and 293.41

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Solution

The fourth proportional to 732.26, 1,098.46 and 293.41 is: 440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.26 : 1,098.46 = 293.41 : x
  2. Step 2: Convert to fraction form
    732.26/1,098.46 = 293.41/x
  3. Step 3: Cross multiply
    732.26x = 1,098.46 × 293.41
  4. Step 4: Simplify right side
    732.26x = 322,299.15
  5. Step 5: Solve for x
    x = 322,299.15/732.26
  6. Step 6: Final answer
    x = 440.14

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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.