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Finding the Fourth Proportional to 516.05, 774.41 and 481.88

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Solution

The fourth proportional to 516.05, 774.41 and 481.88 is: 723.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.05 : 774.41 = 481.88 : x
  2. Step 2: Convert to fraction form
    516.05/774.41 = 481.88/x
  3. Step 3: Cross multiply
    516.05x = 774.41 × 481.88
  4. Step 4: Simplify right side
    516.05x = 373,168.82
  5. Step 5: Solve for x
    x = 373,168.82/516.05
  6. Step 6: Final answer
    x = 723.13

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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.