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Finding the Fourth Proportional to 397.96, 593.41 and 371.48

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Solution

The fourth proportional to 397.96, 593.41 and 371.48 is: 553.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.96 : 593.41 = 371.48 : x
  2. Step 2: Convert to fraction form
    397.96/593.41 = 371.48/x
  3. Step 3: Cross multiply
    397.96x = 593.41 × 371.48
  4. Step 4: Simplify right side
    397.96x = 220,439.95
  5. Step 5: Solve for x
    x = 220,439.95/397.96
  6. Step 6: Final answer
    x = 553.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.