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Finding the Fourth Proportional to 433.05, 650.79 and 422.11

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Solution

The fourth proportional to 433.05, 650.79 and 422.11 is: 634.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.05 : 650.79 = 422.11 : x
  2. Step 2: Convert to fraction form
    433.05/650.79 = 422.11/x
  3. Step 3: Cross multiply
    433.05x = 650.79 × 422.11
  4. Step 4: Simplify right side
    433.05x = 274,704.97
  5. Step 5: Solve for x
    x = 274,704.97/433.05
  6. Step 6: Final answer
    x = 634.35

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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.