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Finding the Fourth Proportional to 299.96, 447.17 and 295.28

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Solution

The fourth proportional to 299.96, 447.17 and 295.28 is: 440.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.96 : 447.17 = 295.28 : x
  2. Step 2: Convert to fraction form
    299.96/447.17 = 295.28/x
  3. Step 3: Cross multiply
    299.96x = 447.17 × 295.28
  4. Step 4: Simplify right side
    299.96x = 132,040.36
  5. Step 5: Solve for x
    x = 132,040.36/299.96
  6. Step 6: Final answer
    x = 440.19

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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.