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Finding the Fourth Proportional to 512.96, 768.24 and 451.44

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Solution

The fourth proportional to 512.96, 768.24 and 451.44 is: 676.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.96 : 768.24 = 451.44 : x
  2. Step 2: Convert to fraction form
    512.96/768.24 = 451.44/x
  3. Step 3: Cross multiply
    512.96x = 768.24 × 451.44
  4. Step 4: Simplify right side
    512.96x = 346,814.27
  5. Step 5: Solve for x
    x = 346,814.27/512.96
  6. Step 6: Final answer
    x = 676.10

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1.5x scale

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.