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Finding the Fourth Proportional to 327.46, 491.20 and 96.36

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Solution

The fourth proportional to 327.46, 491.20 and 96.36 is: 144.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.46 : 491.20 = 96.36 : x
  2. Step 2: Convert to fraction form
    327.46/491.20 = 96.36/x
  3. Step 3: Cross multiply
    327.46x = 491.20 × 96.36
  4. Step 4: Simplify right side
    327.46x = 47,330.04
  5. Step 5: Solve for x
    x = 47,330.04/327.46
  6. Step 6: Final answer
    x = 144.54

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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.