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Finding the Fourth Proportional to 513.11, 768.44 and 396.47

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Solution

The fourth proportional to 513.11, 768.44 and 396.47 is: 593.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.11 : 768.44 = 396.47 : x
  2. Step 2: Convert to fraction form
    513.11/768.44 = 396.47/x
  3. Step 3: Cross multiply
    513.11x = 768.44 × 396.47
  4. Step 4: Simplify right side
    513.11x = 304,660.56
  5. Step 5: Solve for x
    x = 304,660.56/513.11
  6. Step 6: Final answer
    x = 593.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.