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Finding the Fourth Proportional to 626.83, 942.12 and 422.71

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Solution

The fourth proportional to 626.83, 942.12 and 422.71 is: 635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.83 : 942.12 = 422.71 : x
  2. Step 2: Convert to fraction form
    626.83/942.12 = 422.71/x
  3. Step 3: Cross multiply
    626.83x = 942.12 × 422.71
  4. Step 4: Simplify right side
    626.83x = 398,239.27
  5. Step 5: Solve for x
    x = 398,239.27/626.83
  6. Step 6: Final answer
    x = 635.33

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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.