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Finding the Fourth Proportional to 327.67, 491.42 and 96.49

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Solution

The fourth proportional to 327.67, 491.42 and 96.49 is: 144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.67 : 491.42 = 96.49 : x
  2. Step 2: Convert to fraction form
    327.67/491.42 = 96.49/x
  3. Step 3: Cross multiply
    327.67x = 491.42 × 96.49
  4. Step 4: Simplify right side
    327.67x = 47,417.43
  5. Step 5: Solve for x
    x = 47,417.43/327.67
  6. Step 6: Final answer
    x = 144.71

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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.