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Finding the Fourth Proportional to 371.20, 512.52 and 278.98

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Solution

The fourth proportional to 371.20, 512.52 and 278.98 is: 385.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.20 : 512.52 = 278.98 : x
  2. Step 2: Convert to fraction form
    371.20/512.52 = 278.98/x
  3. Step 3: Cross multiply
    371.20x = 512.52 × 278.98
  4. Step 4: Simplify right side
    371.20x = 142,982.83
  5. Step 5: Solve for x
    x = 142,982.83/371.20
  6. Step 6: Final answer
    x = 385.19

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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.