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Finding the Fourth Proportional to 441.38, 662.06 and 209.99

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Solution

The fourth proportional to 441.38, 662.06 and 209.99 is: 314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.38 : 662.06 = 209.99 : x
  2. Step 2: Convert to fraction form
    441.38/662.06 = 209.99/x
  3. Step 3: Cross multiply
    441.38x = 662.06 × 209.99
  4. Step 4: Simplify right side
    441.38x = 139,028.99
  5. Step 5: Solve for x
    x = 139,028.99/441.38
  6. Step 6: Final answer
    x = 314.99

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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.