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Finding the Fourth Proportional to 591.50, 886.70 and 226.06

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Solution

The fourth proportional to 591.50, 886.70 and 226.06 is: 338.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.50 : 886.70 = 226.06 : x
  2. Step 2: Convert to fraction form
    591.50/886.70 = 226.06/x
  3. Step 3: Cross multiply
    591.50x = 886.70 × 226.06
  4. Step 4: Simplify right side
    591.50x = 200,447.40
  5. Step 5: Solve for x
    x = 200,447.40/591.50
  6. Step 6: Final answer
    x = 338.88

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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.