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Finding the Fourth Proportional to 394.28, 590.49 and 229.41

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Solution

The fourth proportional to 394.28, 590.49 and 229.41 is: 343.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.28 : 590.49 = 229.41 : x
  2. Step 2: Convert to fraction form
    394.28/590.49 = 229.41/x
  3. Step 3: Cross multiply
    394.28x = 590.49 × 229.41
  4. Step 4: Simplify right side
    394.28x = 135,464.31
  5. Step 5: Solve for x
    x = 135,464.31/394.28
  6. Step 6: Final answer
    x = 343.57

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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.