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Finding the Fourth Proportional to 327.39, 493.26 and 296.15

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Solution

The fourth proportional to 327.39, 493.26 and 296.15 is: 446.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.39 : 493.26 = 296.15 : x
  2. Step 2: Convert to fraction form
    327.39/493.26 = 296.15/x
  3. Step 3: Cross multiply
    327.39x = 493.26 × 296.15
  4. Step 4: Simplify right side
    327.39x = 146,082.03
  5. Step 5: Solve for x
    x = 146,082.03/327.39
  6. Step 6: Final answer
    x = 446.21

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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.