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Finding the Fourth Proportional to 512.90, 768.74 and 269.30

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Solution

The fourth proportional to 512.90, 768.74 and 269.30 is: 403.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.90 : 768.74 = 269.30 : x
  2. Step 2: Convert to fraction form
    512.90/768.74 = 269.30/x
  3. Step 3: Cross multiply
    512.90x = 768.74 × 269.30
  4. Step 4: Simplify right side
    512.90x = 207,016.49
  5. Step 5: Solve for x
    x = 207,016.49/512.90
  6. Step 6: Final answer
    x = 403.62

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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.