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Finding the Fourth Proportional to 511.81, 768.02 and 329.27

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Solution

The fourth proportional to 511.81, 768.02 and 329.27 is: 494.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.81 : 768.02 = 329.27 : x
  2. Step 2: Convert to fraction form
    511.81/768.02 = 329.27/x
  3. Step 3: Cross multiply
    511.81x = 768.02 × 329.27
  4. Step 4: Simplify right side
    511.81x = 252,880.46
  5. Step 5: Solve for x
    x = 252,880.46/511.81
  6. Step 6: Final answer
    x = 494.09

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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.