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Finding the Fourth Proportional to 733.24, 1,098.24 and 299.08

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Solution

The fourth proportional to 733.24, 1,098.24 and 299.08 is: 447.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.24 : 1,098.24 = 299.08 : x
  2. Step 2: Convert to fraction form
    733.24/1,098.24 = 299.08/x
  3. Step 3: Cross multiply
    733.24x = 1,098.24 × 299.08
  4. Step 4: Simplify right side
    733.24x = 328,461.62
  5. Step 5: Solve for x
    x = 328,461.62/733.24
  6. Step 6: Final answer
    x = 447.96

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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.