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Finding the Fourth Proportional to 371.78, 512.49 and 292.95

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Solution

The fourth proportional to 371.78, 512.49 and 292.95 is: 403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.78 : 512.49 = 292.95 : x
  2. Step 2: Convert to fraction form
    371.78/512.49 = 292.95/x
  3. Step 3: Cross multiply
    371.78x = 512.49 × 292.95
  4. Step 4: Simplify right side
    371.78x = 150,134.77
  5. Step 5: Solve for x
    x = 150,134.77/371.78
  6. Step 6: Final answer
    x = 403.83

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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.