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Finding the Fourth Proportional to 327.29, 491.01 and 96.19

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Solution

The fourth proportional to 327.29, 491.01 and 96.19 is: 144.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.29 : 491.01 = 96.19 : x
  2. Step 2: Convert to fraction form
    327.29/491.01 = 96.19/x
  3. Step 3: Cross multiply
    327.29x = 491.01 × 96.19
  4. Step 4: Simplify right side
    327.29x = 47,229.20
  5. Step 5: Solve for x
    x = 47,229.20/327.29
  6. Step 6: Final answer
    x = 144.30

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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.