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Finding the Fourth Proportional to 422.25, 582.57 and 274.83

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Solution

The fourth proportional to 422.25, 582.57 and 274.83 is: 379.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.25 : 582.57 = 274.83 : x
  2. Step 2: Convert to fraction form
    422.25/582.57 = 274.83/x
  3. Step 3: Cross multiply
    422.25x = 582.57 × 274.83
  4. Step 4: Simplify right side
    422.25x = 160,107.71
  5. Step 5: Solve for x
    x = 160,107.71/422.25
  6. Step 6: Final answer
    x = 379.18

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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.