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Finding the Fourth Proportional to 511.96, 768.15 and 347.61

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Solution

The fourth proportional to 511.96, 768.15 and 347.61 is: 521.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.96 : 768.15 = 347.61 : x
  2. Step 2: Convert to fraction form
    511.96/768.15 = 347.61/x
  3. Step 3: Cross multiply
    511.96x = 768.15 × 347.61
  4. Step 4: Simplify right side
    511.96x = 267,016.62
  5. Step 5: Solve for x
    x = 267,016.62/511.96
  6. Step 6: Final answer
    x = 521.56

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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.