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Finding the Fourth Proportional to 514.78, 772.31 and 254.86

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Solution

The fourth proportional to 514.78, 772.31 and 254.86 is: 382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.78 : 772.31 = 254.86 : x
  2. Step 2: Convert to fraction form
    514.78/772.31 = 254.86/x
  3. Step 3: Cross multiply
    514.78x = 772.31 × 254.86
  4. Step 4: Simplify right side
    514.78x = 196,829.63
  5. Step 5: Solve for x
    x = 196,829.63/514.78
  6. Step 6: Final answer
    x = 382.36

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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.