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Finding the Fourth Proportional to 327.21, 451.47 and 202.87

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Solution

The fourth proportional to 327.21, 451.47 and 202.87 is: 279.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.21 : 451.47 = 202.87 : x
  2. Step 2: Convert to fraction form
    327.21/451.47 = 202.87/x
  3. Step 3: Cross multiply
    327.21x = 451.47 × 202.87
  4. Step 4: Simplify right side
    327.21x = 91,591.04
  5. Step 5: Solve for x
    x = 91,591.04/327.21
  6. Step 6: Final answer
    x = 279.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.