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Finding the Fourth Proportional to 516.78, 774.57 and 208.38

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Solution

The fourth proportional to 516.78, 774.57 and 208.38 is: 312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.78 : 774.57 = 208.38 : x
  2. Step 2: Convert to fraction form
    516.78/774.57 = 208.38/x
  3. Step 3: Cross multiply
    516.78x = 774.57 × 208.38
  4. Step 4: Simplify right side
    516.78x = 161,404.90
  5. Step 5: Solve for x
    x = 161,404.90/516.78
  6. Step 6: Final answer
    x = 312.33

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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.