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Finding the Fourth Proportional to 512.26, 768.60 and 252.40

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Solution

The fourth proportional to 512.26, 768.60 and 252.40 is: 378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.26 : 768.60 = 252.40 : x
  2. Step 2: Convert to fraction form
    512.26/768.60 = 252.40/x
  3. Step 3: Cross multiply
    512.26x = 768.60 × 252.40
  4. Step 4: Simplify right side
    512.26x = 193,994.64
  5. Step 5: Solve for x
    x = 193,994.64/512.26
  6. Step 6: Final answer
    x = 378.70

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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.