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Finding the Fourth Proportional to 626.28, 938.24 and 420.22

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Solution

The fourth proportional to 626.28, 938.24 and 420.22 is: 629.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.28 : 938.24 = 420.22 : x
  2. Step 2: Convert to fraction form
    626.28/938.24 = 420.22/x
  3. Step 3: Cross multiply
    626.28x = 938.24 × 420.22
  4. Step 4: Simplify right side
    626.28x = 394,267.21
  5. Step 5: Solve for x
    x = 394,267.21/626.28
  6. Step 6: Final answer
    x = 629.54

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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.