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Finding the Fourth Proportional to 516.37, 774.27 and 272.83

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Solution

The fourth proportional to 516.37, 774.27 and 272.83 is: 409.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.37 : 774.27 = 272.83 : x
  2. Step 2: Convert to fraction form
    516.37/774.27 = 272.83/x
  3. Step 3: Cross multiply
    516.37x = 774.27 × 272.83
  4. Step 4: Simplify right side
    516.37x = 211,244.08
  5. Step 5: Solve for x
    x = 211,244.08/516.37
  6. Step 6: Final answer
    x = 409.09

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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.