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Finding the Fourth Proportional to 394.20, 588.48 and 338.76

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Solution

The fourth proportional to 394.20, 588.48 and 338.76 is: 505.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.20 : 588.48 = 338.76 : x
  2. Step 2: Convert to fraction form
    394.20/588.48 = 338.76/x
  3. Step 3: Cross multiply
    394.20x = 588.48 × 338.76
  4. Step 4: Simplify right side
    394.20x = 199,353.48
  5. Step 5: Solve for x
    x = 199,353.48/394.20
  6. Step 6: Final answer
    x = 505.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.