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Finding the Fourth Proportional to 516.46, 774.96 and 311.44

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Solution

The fourth proportional to 516.46, 774.96 and 311.44 is: 467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.46 : 774.96 = 311.44 : x
  2. Step 2: Convert to fraction form
    516.46/774.96 = 311.44/x
  3. Step 3: Cross multiply
    516.46x = 774.96 × 311.44
  4. Step 4: Simplify right side
    516.46x = 241,353.54
  5. Step 5: Solve for x
    x = 241,353.54/516.46
  6. Step 6: Final answer
    x = 467.32

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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.