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Finding the Fourth Proportional to 654.44, 982.46 and 422.57

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Solution

The fourth proportional to 654.44, 982.46 and 422.57 is: 634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.44 : 982.46 = 422.57 : x
  2. Step 2: Convert to fraction form
    654.44/982.46 = 422.57/x
  3. Step 3: Cross multiply
    654.44x = 982.46 × 422.57
  4. Step 4: Simplify right side
    654.44x = 415,161.63
  5. Step 5: Solve for x
    x = 415,161.63/654.44
  6. Step 6: Final answer
    x = 634.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.