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Finding the Fourth Proportional to 512.33, 766.94 and 329.85

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Solution

The fourth proportional to 512.33, 766.94 and 329.85 is: 493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.33 : 766.94 = 329.85 : x
  2. Step 2: Convert to fraction form
    512.33/766.94 = 329.85/x
  3. Step 3: Cross multiply
    512.33x = 766.94 × 329.85
  4. Step 4: Simplify right side
    512.33x = 252,973.51
  5. Step 5: Solve for x
    x = 252,973.51/512.33
  6. Step 6: Final answer
    x = 493.78

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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.