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Finding the Fourth Proportional to 422.38, 582.88 and 238.38

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Solution

The fourth proportional to 422.38, 582.88 and 238.38 is: 328.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.38 : 582.88 = 238.38 : x
  2. Step 2: Convert to fraction form
    422.38/582.88 = 238.38/x
  3. Step 3: Cross multiply
    422.38x = 582.88 × 238.38
  4. Step 4: Simplify right side
    422.38x = 138,946.93
  5. Step 5: Solve for x
    x = 138,946.93/422.38
  6. Step 6: Final answer
    x = 328.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.