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Finding the Fourth Proportional to 516.24, 774.75 and 311.04

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Solution

The fourth proportional to 516.24, 774.75 and 311.04 is: 466.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.24 : 774.75 = 311.04 : x
  2. Step 2: Convert to fraction form
    516.24/774.75 = 311.04/x
  3. Step 3: Cross multiply
    516.24x = 774.75 × 311.04
  4. Step 4: Simplify right side
    516.24x = 240,978.24
  5. Step 5: Solve for x
    x = 240,978.24/516.24
  6. Step 6: Final answer
    x = 466.79

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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.