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Finding the Fourth Proportional to 591.42, 886.50 and 226.08

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Solution

The fourth proportional to 591.42, 886.50 and 226.08 is: 338.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.42 : 886.50 = 226.08 : x
  2. Step 2: Convert to fraction form
    591.42/886.50 = 226.08/x
  3. Step 3: Cross multiply
    591.42x = 886.50 × 226.08
  4. Step 4: Simplify right side
    591.42x = 200,419.92
  5. Step 5: Solve for x
    x = 200,419.92/591.42
  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.