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Finding the Fourth Proportional to 327.05, 450.85 and 202.61

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Solution

The fourth proportional to 327.05, 450.85 and 202.61 is: 279.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.05 : 450.85 = 202.61 : x
  2. Step 2: Convert to fraction form
    327.05/450.85 = 202.61/x
  3. Step 3: Cross multiply
    327.05x = 450.85 × 202.61
  4. Step 4: Simplify right side
    327.05x = 91,346.72
  5. Step 5: Solve for x
    x = 91,346.72/327.05
  6. Step 6: Final answer
    x = 279.31

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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.