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Finding the Fourth Proportional to 422.17, 582.24 and 272.82

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Solution

The fourth proportional to 422.17, 582.24 and 272.82 is: 376.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.17 : 582.24 = 272.82 : x
  2. Step 2: Convert to fraction form
    422.17/582.24 = 272.82/x
  3. Step 3: Cross multiply
    422.17x = 582.24 × 272.82
  4. Step 4: Simplify right side
    422.17x = 158,846.72
  5. Step 5: Solve for x
    x = 158,846.72/422.17
  6. Step 6: Final answer
    x = 376.26

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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.