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Finding the Fourth Proportional to 327.09, 490.71 and 95.97

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Solution

The fourth proportional to 327.09, 490.71 and 95.97 is: 143.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.09 : 490.71 = 95.97 : x
  2. Step 2: Convert to fraction form
    327.09/490.71 = 95.97/x
  3. Step 3: Cross multiply
    327.09x = 490.71 × 95.97
  4. Step 4: Simplify right side
    327.09x = 47,093.44
  5. Step 5: Solve for x
    x = 47,093.44/327.09
  6. Step 6: Final answer
    x = 143.98

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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.