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Finding the Fourth Proportional to 441.11, 658.21 and 402.29

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Solution

The fourth proportional to 441.11, 658.21 and 402.29 is: 600.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.11 : 658.21 = 402.29 : x
  2. Step 2: Convert to fraction form
    441.11/658.21 = 402.29/x
  3. Step 3: Cross multiply
    441.11x = 658.21 × 402.29
  4. Step 4: Simplify right side
    441.11x = 264,791.94
  5. Step 5: Solve for x
    x = 264,791.94/441.11
  6. Step 6: Final answer
    x = 600.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.