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Finding the Fourth Proportional to 422.27, 633.41 and 285.59

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Solution

The fourth proportional to 422.27, 633.41 and 285.59 is: 428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.27 : 633.41 = 285.59 : x
  2. Step 2: Convert to fraction form
    422.27/633.41 = 285.59/x
  3. Step 3: Cross multiply
    422.27x = 633.41 × 285.59
  4. Step 4: Simplify right side
    422.27x = 180,895.56
  5. Step 5: Solve for x
    x = 180,895.56/422.27
  6. Step 6: Final answer
    x = 428.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.