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Finding the Fourth Proportional to 371.96, 513.04 and 284.48

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Solution

The fourth proportional to 371.96, 513.04 and 284.48 is: 392.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.96 : 513.04 = 284.48 : x
  2. Step 2: Convert to fraction form
    371.96/513.04 = 284.48/x
  3. Step 3: Cross multiply
    371.96x = 513.04 × 284.48
  4. Step 4: Simplify right side
    371.96x = 145,949.62
  5. Step 5: Solve for x
    x = 145,949.62/371.96
  6. Step 6: Final answer
    x = 392.38

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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.