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Finding the Fourth Proportional to 327.92, 452.88 and 254.24

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Solution

The fourth proportional to 327.92, 452.88 and 254.24 is: 351.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.92 : 452.88 = 254.24 : x
  2. Step 2: Convert to fraction form
    327.92/452.88 = 254.24/x
  3. Step 3: Cross multiply
    327.92x = 452.88 × 254.24
  4. Step 4: Simplify right side
    327.92x = 115,140.21
  5. Step 5: Solve for x
    x = 115,140.21/327.92
  6. Step 6: Final answer
    x = 351.12

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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.