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Finding the Fourth Proportional to 327.32, 491.08 and 203.84

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Solution

The fourth proportional to 327.32, 491.08 and 203.84 is: 305.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.32 : 491.08 = 203.84 : x
  2. Step 2: Convert to fraction form
    327.32/491.08 = 203.84/x
  3. Step 3: Cross multiply
    327.32x = 491.08 × 203.84
  4. Step 4: Simplify right side
    327.32x = 100,101.75
  5. Step 5: Solve for x
    x = 100,101.75/327.32
  6. Step 6: Final answer
    x = 305.82

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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.