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Finding the Fourth Proportional to 327.56, 451.62 and 286.52

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Solution

The fourth proportional to 327.56, 451.62 and 286.52 is: 395.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.56 : 451.62 = 286.52 : x
  2. Step 2: Convert to fraction form
    327.56/451.62 = 286.52/x
  3. Step 3: Cross multiply
    327.56x = 451.62 × 286.52
  4. Step 4: Simplify right side
    327.56x = 129,398.16
  5. Step 5: Solve for x
    x = 129,398.16/327.56
  6. Step 6: Final answer
    x = 395.04

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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.