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Finding the Fourth Proportional to 440.36, 660.73 and 209.42

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Solution

The fourth proportional to 440.36, 660.73 and 209.42 is: 314.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.36 : 660.73 = 209.42 : x
  2. Step 2: Convert to fraction form
    440.36/660.73 = 209.42/x
  3. Step 3: Cross multiply
    440.36x = 660.73 × 209.42
  4. Step 4: Simplify right side
    440.36x = 138,367.30
  5. Step 5: Solve for x
    x = 138,367.30/440.36
  6. Step 6: Final answer
    x = 314.21

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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.