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Finding the Fourth Proportional to 511.92, 768.42 and 223.56

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Solution

The fourth proportional to 511.92, 768.42 and 223.56 is: 335.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.92 : 768.42 = 223.56 : x
  2. Step 2: Convert to fraction form
    511.92/768.42 = 223.56/x
  3. Step 3: Cross multiply
    511.92x = 768.42 × 223.56
  4. Step 4: Simplify right side
    511.92x = 171,787.98
  5. Step 5: Solve for x
    x = 171,787.98/511.92
  6. Step 6: Final answer
    x = 335.58

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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.