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Finding the Fourth Proportional to 411.27, 567.37 and 286.73

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Solution

The fourth proportional to 411.27, 567.37 and 286.73 is: 395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.27 : 567.37 = 286.73 : x
  2. Step 2: Convert to fraction form
    411.27/567.37 = 286.73/x
  3. Step 3: Cross multiply
    411.27x = 567.37 × 286.73
  4. Step 4: Simplify right side
    411.27x = 162,682.00
  5. Step 5: Solve for x
    x = 162,682.00/411.27
  6. Step 6: Final answer
    x = 395.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.