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Finding the Fourth Proportional to 512.85, 769.45 and 216.51

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Solution

The fourth proportional to 512.85, 769.45 and 216.51 is: 324.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.85 : 769.45 = 216.51 : x
  2. Step 2: Convert to fraction form
    512.85/769.45 = 216.51/x
  3. Step 3: Cross multiply
    512.85x = 769.45 × 216.51
  4. Step 4: Simplify right side
    512.85x = 166,590.60
  5. Step 5: Solve for x
    x = 166,590.60/512.85
  6. Step 6: Final answer
    x = 324.83

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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.