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Finding the Fourth Proportional to 371.27, 512.39 and 205.49

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Solution

The fourth proportional to 371.27, 512.39 and 205.49 is: 283.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.27 : 512.39 = 205.49 : x
  2. Step 2: Convert to fraction form
    371.27/512.39 = 205.49/x
  3. Step 3: Cross multiply
    371.27x = 512.39 × 205.49
  4. Step 4: Simplify right side
    371.27x = 105,292.82
  5. Step 5: Solve for x
    x = 105,292.82/371.27
  6. Step 6: Final answer
    x = 283.60

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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.