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Finding the Fourth Proportional to 327.24, 490.82 and 180.54

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Solution

The fourth proportional to 327.24, 490.82 and 180.54 is: 270.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.24 : 490.82 = 180.54 : x
  2. Step 2: Convert to fraction form
    327.24/490.82 = 180.54/x
  3. Step 3: Cross multiply
    327.24x = 490.82 × 180.54
  4. Step 4: Simplify right side
    327.24x = 88,611.74
  5. Step 5: Solve for x
    x = 88,611.74/327.24
  6. Step 6: Final answer
    x = 270.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.