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Finding the Fourth Proportional to 440.64, 660.96 and 180.66

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Solution

The fourth proportional to 440.64, 660.96 and 180.66 is: 270.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.64 : 660.96 = 180.66 : x
  2. Step 2: Convert to fraction form
    440.64/660.96 = 180.66/x
  3. Step 3: Cross multiply
    440.64x = 660.96 × 180.66
  4. Step 4: Simplify right side
    440.64x = 119,409.03
  5. Step 5: Solve for x
    x = 119,409.03/440.64
  6. Step 6: Final answer
    x = 270.99

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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.