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Finding the Fourth Proportional to 512.26, 706.92 and 279.38

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Solution

The fourth proportional to 512.26, 706.92 and 279.38 is: 385.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.26 : 706.92 = 279.38 : x
  2. Step 2: Convert to fraction form
    512.26/706.92 = 279.38/x
  3. Step 3: Cross multiply
    512.26x = 706.92 × 279.38
  4. Step 4: Simplify right side
    512.26x = 197,499.31
  5. Step 5: Solve for x
    x = 197,499.31/512.26
  6. Step 6: Final answer
    x = 385.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.