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Finding the Fourth Proportional to 512.55, 768.15 and 374.97

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Solution

The fourth proportional to 512.55, 768.15 and 374.97 is: 561.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.55 : 768.15 = 374.97 : x
  2. Step 2: Convert to fraction form
    512.55/768.15 = 374.97/x
  3. Step 3: Cross multiply
    512.55x = 768.15 × 374.97
  4. Step 4: Simplify right side
    512.55x = 288,033.21
  5. Step 5: Solve for x
    x = 288,033.21/512.55
  6. Step 6: Final answer
    x = 561.96

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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.