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Finding the Fourth Proportional to 591.96, 888.18 and 226.80

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Solution

The fourth proportional to 591.96, 888.18 and 226.80 is: 340.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.96 : 888.18 = 226.80 : x
  2. Step 2: Convert to fraction form
    591.96/888.18 = 226.80/x
  3. Step 3: Cross multiply
    591.96x = 888.18 × 226.80
  4. Step 4: Simplify right side
    591.96x = 201,439.22
  5. Step 5: Solve for x
    x = 201,439.22/591.96
  6. Step 6: Final answer
    x = 340.29

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Why These Related Problems?

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