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Finding the Fourth Proportional to 327.28, 451.48 and 202.92

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Solution

The fourth proportional to 327.28, 451.48 and 202.92 is: 279.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.28 : 451.48 = 202.92 : x
  2. Step 2: Convert to fraction form
    327.28/451.48 = 202.92/x
  3. Step 3: Cross multiply
    327.28x = 451.48 × 202.92
  4. Step 4: Simplify right side
    327.28x = 91,614.32
  5. Step 5: Solve for x
    x = 91,614.32/327.28
  6. Step 6: Final answer
    x = 279.93

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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.