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Finding the Fourth Proportional to 591.37, 886.14 and 225.97

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Solution

The fourth proportional to 591.37, 886.14 and 225.97 is: 338.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.37 : 886.14 = 225.97 : x
  2. Step 2: Convert to fraction form
    591.37/886.14 = 225.97/x
  3. Step 3: Cross multiply
    591.37x = 886.14 × 225.97
  4. Step 4: Simplify right side
    591.37x = 200,238.84
  5. Step 5: Solve for x
    x = 200,238.84/591.37
  6. Step 6: Final answer
    x = 338.60

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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.