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Finding the Fourth Proportional to 591.97, 888.15 and 226.86

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Solution

The fourth proportional to 591.97, 888.15 and 226.86 is: 340.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.97 : 888.15 = 226.86 : x
  2. Step 2: Convert to fraction form
    591.97/888.15 = 226.86/x
  3. Step 3: Cross multiply
    591.97x = 888.15 × 226.86
  4. Step 4: Simplify right side
    591.97x = 201,485.71
  5. Step 5: Solve for x
    x = 201,485.71/591.97
  6. Step 6: Final answer
    x = 340.37

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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.