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Finding the Fourth Proportional to 441.73, 609.25 and 323.66

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Solution

The fourth proportional to 441.73, 609.25 and 323.66 is: 446.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.73 : 609.25 = 323.66 : x
  2. Step 2: Convert to fraction form
    441.73/609.25 = 323.66/x
  3. Step 3: Cross multiply
    441.73x = 609.25 × 323.66
  4. Step 4: Simplify right side
    441.73x = 197,187.52
  5. Step 5: Solve for x
    x = 197,187.52/441.73
  6. Step 6: Final answer
    x = 446.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.