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Finding the Fourth Proportional to 327.26, 493.11 and 270.74

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Solution

The fourth proportional to 327.26, 493.11 and 270.74 is: 407.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.26 : 493.11 = 270.74 : x
  2. Step 2: Convert to fraction form
    327.26/493.11 = 270.74/x
  3. Step 3: Cross multiply
    327.26x = 493.11 × 270.74
  4. Step 4: Simplify right side
    327.26x = 133,504.60
  5. Step 5: Solve for x
    x = 133,504.60/327.26
  6. Step 6: Final answer
    x = 407.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.