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Finding the Fourth Proportional to 327.12, 451.80 and 265.62

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Solution

The fourth proportional to 327.12, 451.80 and 265.62 is: 366.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.12 : 451.80 = 265.62 : x
  2. Step 2: Convert to fraction form
    327.12/451.80 = 265.62/x
  3. Step 3: Cross multiply
    327.12x = 451.80 × 265.62
  4. Step 4: Simplify right side
    327.12x = 120,007.12
  5. Step 5: Solve for x
    x = 120,007.12/327.12
  6. Step 6: Final answer
    x = 366.86

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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.