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Finding the Fourth Proportional to 732, 1,098.24 and 299.52

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Solution

The fourth proportional to 732, 1,098.24 and 299.52 is: 449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    732 : 1,098.24 = 299.52 : x
  2. Step 2: Convert to fraction form
    732/1,098.24 = 299.52/x
  3. Step 3: Cross multiply
    732x = 1,098.24 × 299.52
  4. Step 4: Simplify right side
    732x = 328,944.84
  5. Step 5: Solve for x
    x = 328,944.84/732
  6. Step 6: Final answer
    x = 449.38

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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.