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Finding the Fourth Proportional to 518.97, 777.39 and 274.98

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Solution

The fourth proportional to 518.97, 777.39 and 274.98 is: 411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.97 : 777.39 = 274.98 : x
  2. Step 2: Convert to fraction form
    518.97/777.39 = 274.98/x
  3. Step 3: Cross multiply
    518.97x = 777.39 × 274.98
  4. Step 4: Simplify right side
    518.97x = 213,766.70
  5. Step 5: Solve for x
    x = 213,766.70/518.97
  6. Step 6: Final answer
    x = 411.91

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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.