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Finding the Fourth Proportional to 329.57, 454.71 and 224.47

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Solution

The fourth proportional to 329.57, 454.71 and 224.47 is: 309.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.57 : 454.71 = 224.47 : x
  2. Step 2: Convert to fraction form
    329.57/454.71 = 224.47/x
  3. Step 3: Cross multiply
    329.57x = 454.71 × 224.47
  4. Step 4: Simplify right side
    329.57x = 102,070.16
  5. Step 5: Solve for x
    x = 102,070.16/329.57
  6. Step 6: Final answer
    x = 309.71

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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.