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Finding the Fourth Proportional to 327.55, 451.82 and 211.11

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Solution

The fourth proportional to 327.55, 451.82 and 211.11 is: 291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.55 : 451.82 = 211.11 : x
  2. Step 2: Convert to fraction form
    327.55/451.82 = 211.11/x
  3. Step 3: Cross multiply
    327.55x = 451.82 × 211.11
  4. Step 4: Simplify right side
    327.55x = 95,384.25
  5. Step 5: Solve for x
    x = 95,384.25/327.55
  6. Step 6: Final answer
    x = 291.21

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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.