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Finding the Fourth Proportional to 327.09, 490.57 and 95.93

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Solution

The fourth proportional to 327.09, 490.57 and 95.93 is: 143.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.09 : 490.57 = 95.93 : x
  2. Step 2: Convert to fraction form
    327.09/490.57 = 95.93/x
  3. Step 3: Cross multiply
    327.09x = 490.57 × 95.93
  4. Step 4: Simplify right side
    327.09x = 47,061.37
  5. Step 5: Solve for x
    x = 47,061.37/327.09
  6. Step 6: Final answer
    x = 143.88

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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.