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Finding the Fourth Proportional to 422, 582.36 and 238

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Solution

The fourth proportional to 422, 582.36 and 238 is: 328.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    422 : 582.36 = 238 : x
  2. Step 2: Convert to fraction form
    422/582.36 = 238/x
  3. Step 3: Cross multiply
    422x = 582.36 × 238
  4. Step 4: Simplify right side
    422x = 138,601.68
  5. Step 5: Solve for x
    x = 138,601.68/422
  6. Step 6: Final answer
    x = 328.44

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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.