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Finding the Fourth Proportional to 591.30, 886.97 and 225.88

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Solution

The fourth proportional to 591.30, 886.97 and 225.88 is: 338.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.30 : 886.97 = 225.88 : x
  2. Step 2: Convert to fraction form
    591.30/886.97 = 225.88/x
  3. Step 3: Cross multiply
    591.30x = 886.97 × 225.88
  4. Step 4: Simplify right side
    591.30x = 200,347.13
  5. Step 5: Solve for x
    x = 200,347.13/591.30
  6. Step 6: Final answer
    x = 338.82

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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.