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Finding the Fourth Proportional to 299.97, 452.25 and 273.24

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Solution

The fourth proportional to 299.97, 452.25 and 273.24 is: 411.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.97 : 452.25 = 273.24 : x
  2. Step 2: Convert to fraction form
    299.97/452.25 = 273.24/x
  3. Step 3: Cross multiply
    299.97x = 452.25 × 273.24
  4. Step 4: Simplify right side
    299.97x = 123,572.79
  5. Step 5: Solve for x
    x = 123,572.79/299.97
  6. Step 6: Final answer
    x = 411.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.