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Finding the Fourth Proportional to 518.75, 777.11 and 344.91

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Solution

The fourth proportional to 518.75, 777.11 and 344.91 is: 516.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.75 : 777.11 = 344.91 : x
  2. Step 2: Convert to fraction form
    518.75/777.11 = 344.91/x
  3. Step 3: Cross multiply
    518.75x = 777.11 × 344.91
  4. Step 4: Simplify right side
    518.75x = 268,033.87
  5. Step 5: Solve for x
    x = 268,033.87/518.75
  6. Step 6: Final answer
    x = 516.69

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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.