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Finding the Fourth Proportional to 411.82, 567.97 and 287.33

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Solution

The fourth proportional to 411.82, 567.97 and 287.33 is: 396.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.82 : 567.97 = 287.33 : x
  2. Step 2: Convert to fraction form
    411.82/567.97 = 287.33/x
  3. Step 3: Cross multiply
    411.82x = 567.97 × 287.33
  4. Step 4: Simplify right side
    411.82x = 163,191.26
  5. Step 5: Solve for x
    x = 163,191.26/411.82
  6. Step 6: Final answer
    x = 396.27

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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.