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Finding the Fourth Proportional to 338.38, 470.09 and 335.38

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Solution

The fourth proportional to 338.38, 470.09 and 335.38 is: 465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.38 : 470.09 = 335.38 : x
  2. Step 2: Convert to fraction form
    338.38/470.09 = 335.38/x
  3. Step 3: Cross multiply
    338.38x = 470.09 × 335.38
  4. Step 4: Simplify right side
    338.38x = 157,658.78
  5. Step 5: Solve for x
    x = 157,658.78/338.38
  6. Step 6: Final answer
    x = 465.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.