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Finding the Fourth Proportional to 732.31, 1,098.66 and 299.77

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Solution

The fourth proportional to 732.31, 1,098.66 and 299.77 is: 449.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.31 : 1,098.66 = 299.77 : x
  2. Step 2: Convert to fraction form
    732.31/1,098.66 = 299.77/x
  3. Step 3: Cross multiply
    732.31x = 1,098.66 × 299.77
  4. Step 4: Simplify right side
    732.31x = 329,345.31
  5. Step 5: Solve for x
    x = 329,345.31/732.31
  6. Step 6: Final answer
    x = 449.73

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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.