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Finding the Fourth Proportional to 512.58, 768.81 and 219.84

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Solution

The fourth proportional to 512.58, 768.81 and 219.84 is: 329.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.58 : 768.81 = 219.84 : x
  2. Step 2: Convert to fraction form
    512.58/768.81 = 219.84/x
  3. Step 3: Cross multiply
    512.58x = 768.81 × 219.84
  4. Step 4: Simplify right side
    512.58x = 169,015.19
  5. Step 5: Solve for x
    x = 169,015.19/512.58
  6. Step 6: Final answer
    x = 329.73

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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.