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Finding the Fourth Proportional to 732.33, 1,098.67 and 299.49

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Solution

The fourth proportional to 732.33, 1,098.67 and 299.49 is: 449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.33 : 1,098.67 = 299.49 : x
  2. Step 2: Convert to fraction form
    732.33/1,098.67 = 299.49/x
  3. Step 3: Cross multiply
    732.33x = 1,098.67 × 299.49
  4. Step 4: Simplify right side
    732.33x = 329,036.93
  5. Step 5: Solve for x
    x = 329,036.93/732.33
  6. Step 6: Final answer
    x = 449.30

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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.