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Finding the Fourth Proportional to 512.42, 768.26 and 416.66

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Solution

The fourth proportional to 512.42, 768.26 and 416.66 is: 624.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.42 : 768.26 = 416.66 : x
  2. Step 2: Convert to fraction form
    512.42/768.26 = 416.66/x
  3. Step 3: Cross multiply
    512.42x = 768.26 × 416.66
  4. Step 4: Simplify right side
    512.42x = 320,100.41
  5. Step 5: Solve for x
    x = 320,100.41/512.42
  6. Step 6: Final answer
    x = 624.69

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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.