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Finding the Fourth Proportional to 371.24, 512.31 and 205.44

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Solution

The fourth proportional to 371.24, 512.31 and 205.44 is: 283.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.24 : 512.31 = 205.44 : x
  2. Step 2: Convert to fraction form
    371.24/512.31 = 205.44/x
  3. Step 3: Cross multiply
    371.24x = 512.31 × 205.44
  4. Step 4: Simplify right side
    371.24x = 105,251.85
  5. Step 5: Solve for x
    x = 105,251.85/371.24
  6. Step 6: Final answer
    x = 283.51

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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.