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Finding the Fourth Proportional to 516.78, 774.97 and 208.63

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Solution

The fourth proportional to 516.78, 774.97 and 208.63 is: 312.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.78 : 774.97 = 208.63 : x
  2. Step 2: Convert to fraction form
    516.78/774.97 = 208.63/x
  3. Step 3: Cross multiply
    516.78x = 774.97 × 208.63
  4. Step 4: Simplify right side
    516.78x = 161,678.08
  5. Step 5: Solve for x
    x = 161,678.08/516.78
  6. Step 6: Final answer
    x = 312.86

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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.