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Finding the Fourth Proportional to 367.87, 548.96 and 326.96

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Solution

The fourth proportional to 367.87, 548.96 and 326.96 is: 487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.87 : 548.96 = 326.96 : x
  2. Step 2: Convert to fraction form
    367.87/548.96 = 326.96/x
  3. Step 3: Cross multiply
    367.87x = 548.96 × 326.96
  4. Step 4: Simplify right side
    367.87x = 179,488.93
  5. Step 5: Solve for x
    x = 179,488.93/367.87
  6. Step 6: Final answer
    x = 487.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.