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Finding the Fourth Proportional to 512.72, 768.72 and 416.96

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Solution

The fourth proportional to 512.72, 768.72 and 416.96 is: 625.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.72 : 768.72 = 416.96 : x
  2. Step 2: Convert to fraction form
    512.72/768.72 = 416.96/x
  3. Step 3: Cross multiply
    512.72x = 768.72 × 416.96
  4. Step 4: Simplify right side
    512.72x = 320,525.49
  5. Step 5: Solve for x
    x = 320,525.49/512.72
  6. Step 6: Final answer
    x = 625.15

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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.