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Finding the Fourth Proportional to 516.20, 774.17 and 308.02

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Solution

The fourth proportional to 516.20, 774.17 and 308.02 is: 461.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.20 : 774.17 = 308.02 : x
  2. Step 2: Convert to fraction form
    516.20/774.17 = 308.02/x
  3. Step 3: Cross multiply
    516.20x = 774.17 × 308.02
  4. Step 4: Simplify right side
    516.20x = 238,460.71
  5. Step 5: Solve for x
    x = 238,460.71/516.20
  6. Step 6: Final answer
    x = 461.96

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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.