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Finding the Fourth Proportional to 329.13, 453.97 and 224.15

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Solution

The fourth proportional to 329.13, 453.97 and 224.15 is: 309.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.13 : 453.97 = 224.15 : x
  2. Step 2: Convert to fraction form
    329.13/453.97 = 224.15/x
  3. Step 3: Cross multiply
    329.13x = 453.97 × 224.15
  4. Step 4: Simplify right side
    329.13x = 101,757.95
  5. Step 5: Solve for x
    x = 101,757.95/329.13
  6. Step 6: Final answer
    x = 309.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.