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Finding the Fourth Proportional to 380.87, 571.02 and 226.43

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Solution

The fourth proportional to 380.87, 571.02 and 226.43 is: 339.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.87 : 571.02 = 226.43 : x
  2. Step 2: Convert to fraction form
    380.87/571.02 = 226.43/x
  3. Step 3: Cross multiply
    380.87x = 571.02 × 226.43
  4. Step 4: Simplify right side
    380.87x = 129,296.06
  5. Step 5: Solve for x
    x = 129,296.06/380.87
  6. Step 6: Final answer
    x = 339.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.