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Finding the Fourth Proportional to 732.69, 1,098.32 and 293.81

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Solution

The fourth proportional to 732.69, 1,098.32 and 293.81 is: 440.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.69 : 1,098.32 = 293.81 : x
  2. Step 2: Convert to fraction form
    732.69/1,098.32 = 293.81/x
  3. Step 3: Cross multiply
    732.69x = 1,098.32 × 293.81
  4. Step 4: Simplify right side
    732.69x = 322,690.44
  5. Step 5: Solve for x
    x = 322,690.44/732.69
  6. Step 6: Final answer
    x = 440.42

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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.