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Finding the Fourth Proportional to 516.78, 774.56 and 208.47

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Solution

The fourth proportional to 516.78, 774.56 and 208.47 is: 312.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.78 : 774.56 = 208.47 : x
  2. Step 2: Convert to fraction form
    516.78/774.56 = 208.47/x
  3. Step 3: Cross multiply
    516.78x = 774.56 × 208.47
  4. Step 4: Simplify right side
    516.78x = 161,475.95
  5. Step 5: Solve for x
    x = 161,475.95/516.78
  6. Step 6: Final answer
    x = 312.47

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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.