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Finding the Fourth Proportional to 327.85, 452.44 and 201.85

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Solution

The fourth proportional to 327.85, 452.44 and 201.85 is: 278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.85 : 452.44 = 201.85 : x
  2. Step 2: Convert to fraction form
    327.85/452.44 = 201.85/x
  3. Step 3: Cross multiply
    327.85x = 452.44 × 201.85
  4. Step 4: Simplify right side
    327.85x = 91,325.01
  5. Step 5: Solve for x
    x = 91,325.01/327.85
  6. Step 6: Final answer
    x = 278.56

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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.