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Finding the Fourth Proportional to 516.62, 774.94 and 204.24

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Solution

The fourth proportional to 516.62, 774.94 and 204.24 is: 306.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.62 : 774.94 = 204.24 : x
  2. Step 2: Convert to fraction form
    516.62/774.94 = 204.24/x
  3. Step 3: Cross multiply
    516.62x = 774.94 × 204.24
  4. Step 4: Simplify right side
    516.62x = 158,273.75
  5. Step 5: Solve for x
    x = 158,273.75/516.62
  6. Step 6: Final answer
    x = 306.36

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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.