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Finding the Fourth Proportional to 422.55, 582.89 and 267.39

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Solution

The fourth proportional to 422.55, 582.89 and 267.39 is: 368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.55 : 582.89 = 267.39 : x
  2. Step 2: Convert to fraction form
    422.55/582.89 = 267.39/x
  3. Step 3: Cross multiply
    422.55x = 582.89 × 267.39
  4. Step 4: Simplify right side
    422.55x = 155,857.62
  5. Step 5: Solve for x
    x = 155,857.62/422.55
  6. Step 6: Final answer
    x = 368.85

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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.