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Finding the Fourth Proportional to 299.76, 447.31 and 269.12

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Solution

The fourth proportional to 299.76, 447.31 and 269.12 is: 401.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.76 : 447.31 = 269.12 : x
  2. Step 2: Convert to fraction form
    299.76/447.31 = 269.12/x
  3. Step 3: Cross multiply
    299.76x = 447.31 × 269.12
  4. Step 4: Simplify right side
    299.76x = 120,380.07
  5. Step 5: Solve for x
    x = 120,380.07/299.76
  6. Step 6: Final answer
    x = 401.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.