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Finding the Fourth Proportional to 516.28, 774.49 and 272.83

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Solution

The fourth proportional to 516.28, 774.49 and 272.83 is: 409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.28 : 774.49 = 272.83 : x
  2. Step 2: Convert to fraction form
    516.28/774.49 = 272.83/x
  3. Step 3: Cross multiply
    516.28x = 774.49 × 272.83
  4. Step 4: Simplify right side
    516.28x = 211,300.23
  5. Step 5: Solve for x
    x = 211,300.23/516.28
  6. Step 6: Final answer
    x = 409.27

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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.