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Finding the Fourth Proportional to 512.42, 768.89 and 397.08

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Solution

The fourth proportional to 512.42, 768.89 and 397.08 is: 595.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.42 : 768.89 = 397.08 : x
  2. Step 2: Convert to fraction form
    512.42/768.89 = 397.08/x
  3. Step 3: Cross multiply
    512.42x = 768.89 × 397.08
  4. Step 4: Simplify right side
    512.42x = 305,311.83
  5. Step 5: Solve for x
    x = 305,311.83/512.42
  6. Step 6: Final answer
    x = 595.83

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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.