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Finding the Fourth Proportional to 329.27, 454.49 and 204.85

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Solution

The fourth proportional to 329.27, 454.49 and 204.85 is: 282.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.27 : 454.49 = 204.85 : x
  2. Step 2: Convert to fraction form
    329.27/454.49 = 204.85/x
  3. Step 3: Cross multiply
    329.27x = 454.49 × 204.85
  4. Step 4: Simplify right side
    329.27x = 93,104.21
  5. Step 5: Solve for x
    x = 93,104.21/329.27
  6. Step 6: Final answer
    x = 282.76

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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.