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Finding the Fourth Proportional to 511.68, 767.14 and 255.36

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Solution

The fourth proportional to 511.68, 767.14 and 255.36 is: 382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.68 : 767.14 = 255.36 : x
  2. Step 2: Convert to fraction form
    511.68/767.14 = 255.36/x
  3. Step 3: Cross multiply
    511.68x = 767.14 × 255.36
  4. Step 4: Simplify right side
    511.68x = 195,896.87
  5. Step 5: Solve for x
    x = 195,896.87/511.68
  6. Step 6: Final answer
    x = 382.85

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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.