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Finding the Fourth Proportional to 371.31, 512.45 and 213.98

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Solution

The fourth proportional to 371.31, 512.45 and 213.98 is: 295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.31 : 512.45 = 213.98 : x
  2. Step 2: Convert to fraction form
    371.31/512.45 = 213.98/x
  3. Step 3: Cross multiply
    371.31x = 512.45 × 213.98
  4. Step 4: Simplify right side
    371.31x = 109,650.42
  5. Step 5: Solve for x
    x = 109,650.42/371.31
  6. Step 6: Final answer
    x = 295.31

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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.