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Finding the Fourth Proportional to 591.56, 886.42 and 226.15

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Solution

The fourth proportional to 591.56, 886.42 and 226.15 is: 338.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.56 : 886.42 = 226.15 : x
  2. Step 2: Convert to fraction form
    591.56/886.42 = 226.15/x
  3. Step 3: Cross multiply
    591.56x = 886.42 × 226.15
  4. Step 4: Simplify right side
    591.56x = 200,461.10
  5. Step 5: Solve for x
    x = 200,461.10/591.56
  6. Step 6: Final answer
    x = 338.87

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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.