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Finding the Fourth Proportional to 327.44, 491.04 and 108.01

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Solution

The fourth proportional to 327.44, 491.04 and 108.01 is: 161.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.44 : 491.04 = 108.01 : x
  2. Step 2: Convert to fraction form
    327.44/491.04 = 108.01/x
  3. Step 3: Cross multiply
    327.44x = 491.04 × 108.01
  4. Step 4: Simplify right side
    327.44x = 53,034.24
  5. Step 5: Solve for x
    x = 53,034.24/327.44
  6. Step 6: Final answer
    x = 161.97

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