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Finding the Fourth Proportional to 443.11, 608.92 and 422.78

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Solution

The fourth proportional to 443.11, 608.92 and 422.78 is: 580.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.11 : 608.92 = 422.78 : x
  2. Step 2: Convert to fraction form
    443.11/608.92 = 422.78/x
  3. Step 3: Cross multiply
    443.11x = 608.92 × 422.78
  4. Step 4: Simplify right side
    443.11x = 257,441.25
  5. Step 5: Solve for x
    x = 257,441.25/443.11
  6. Step 6: Final answer
    x = 580.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.