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Finding the Fourth Proportional to 422.11, 584.99 and 416.24

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Solution

The fourth proportional to 422.11, 584.99 and 416.24 is: 576.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.11 : 584.99 = 416.24 : x
  2. Step 2: Convert to fraction form
    422.11/584.99 = 416.24/x
  3. Step 3: Cross multiply
    422.11x = 584.99 × 416.24
  4. Step 4: Simplify right side
    422.11x = 243,496.24
  5. Step 5: Solve for x
    x = 243,496.24/422.11
  6. Step 6: Final answer
    x = 576.85

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.