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Finding the Fourth Proportional to 422.25, 582.80 and 267.09

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Solution

The fourth proportional to 422.25, 582.80 and 267.09 is: 368.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.25 : 582.80 = 267.09 : x
  2. Step 2: Convert to fraction form
    422.25/582.80 = 267.09/x
  3. Step 3: Cross multiply
    422.25x = 582.80 × 267.09
  4. Step 4: Simplify right side
    422.25x = 155,658.72
  5. Step 5: Solve for x
    x = 155,658.72/422.25
  6. Step 6: Final answer
    x = 368.64

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