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Finding the Fourth Proportional to 630.23, 944.84 and 422.21

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Solution

The fourth proportional to 630.23, 944.84 and 422.21 is: 632.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.23 : 944.84 = 422.21 : x
  2. Step 2: Convert to fraction form
    630.23/944.84 = 422.21/x
  3. Step 3: Cross multiply
    630.23x = 944.84 × 422.21
  4. Step 4: Simplify right side
    630.23x = 398,919.27
  5. Step 5: Solve for x
    x = 398,919.27/630.23
  6. Step 6: Final answer
    x = 632.97

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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.