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Finding the Fourth Proportional to 512.25, 767.94 and 219.75

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Solution

The fourth proportional to 512.25, 767.94 and 219.75 is: 329.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.25 : 767.94 = 219.75 : x
  2. Step 2: Convert to fraction form
    512.25/767.94 = 219.75/x
  3. Step 3: Cross multiply
    512.25x = 767.94 × 219.75
  4. Step 4: Simplify right side
    512.25x = 168,754.82
  5. Step 5: Solve for x
    x = 168,754.82/512.25
  6. Step 6: Final answer
    x = 329.44

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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.