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Finding the Fourth Proportional to 422.44, 630.62 and 367.75

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Solution

The fourth proportional to 422.44, 630.62 and 367.75 is: 548.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.44 : 630.62 = 367.75 : x
  2. Step 2: Convert to fraction form
    422.44/630.62 = 367.75/x
  3. Step 3: Cross multiply
    422.44x = 630.62 × 367.75
  4. Step 4: Simplify right side
    422.44x = 231,910.51
  5. Step 5: Solve for x
    x = 231,910.51/422.44
  6. Step 6: Final answer
    x = 548.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.