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Finding the Fourth Proportional to 512.24, 767.82 and 306.92

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Solution

The fourth proportional to 512.24, 767.82 and 306.92 is: 460.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.24 : 767.82 = 306.92 : x
  2. Step 2: Convert to fraction form
    512.24/767.82 = 306.92/x
  3. Step 3: Cross multiply
    512.24x = 767.82 × 306.92
  4. Step 4: Simplify right side
    512.24x = 235,659.31
  5. Step 5: Solve for x
    x = 235,659.31/512.24
  6. Step 6: Final answer
    x = 460.06

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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.