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Finding the Fourth Proportional to 511.34, 768.21 and 329.09

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Solution

The fourth proportional to 511.34, 768.21 and 329.09 is: 494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.34 : 768.21 = 329.09 : x
  2. Step 2: Convert to fraction form
    511.34/768.21 = 329.09/x
  3. Step 3: Cross multiply
    511.34x = 768.21 × 329.09
  4. Step 4: Simplify right side
    511.34x = 252,810.23
  5. Step 5: Solve for x
    x = 252,810.23/511.34
  6. Step 6: Final answer
    x = 494.41

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