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Finding the Fourth Proportional to 516.16, 774.78 and 311.23

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Solution

The fourth proportional to 516.16, 774.78 and 311.23 is: 467.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.16 : 774.78 = 311.23 : x
  2. Step 2: Convert to fraction form
    516.16/774.78 = 311.23/x
  3. Step 3: Cross multiply
    516.16x = 774.78 × 311.23
  4. Step 4: Simplify right side
    516.16x = 241,134.78
  5. Step 5: Solve for x
    x = 241,134.78/516.16
  6. Step 6: Final answer
    x = 467.17

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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.