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Finding the Fourth Proportional to 605.56, 908.80 and 443.66

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Solution

The fourth proportional to 605.56, 908.80 and 443.66 is: 665.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.56 : 908.80 = 443.66 : x
  2. Step 2: Convert to fraction form
    605.56/908.80 = 443.66/x
  3. Step 3: Cross multiply
    605.56x = 908.80 × 443.66
  4. Step 4: Simplify right side
    605.56x = 403,198.21
  5. Step 5: Solve for x
    x = 403,198.21/605.56
  6. Step 6: Final answer
    x = 665.83

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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.