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Finding the Fourth Proportional to 591.16, 886.62 and 225.88

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Solution

The fourth proportional to 591.16, 886.62 and 225.88 is: 338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.16 : 886.62 = 225.88 : x
  2. Step 2: Convert to fraction form
    591.16/886.62 = 225.88/x
  3. Step 3: Cross multiply
    591.16x = 886.62 × 225.88
  4. Step 4: Simplify right side
    591.16x = 200,269.73
  5. Step 5: Solve for x
    x = 200,269.73/591.16
  6. Step 6: Final answer
    x = 338.77

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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.