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Finding the Fourth Proportional to 440.11, 660.57 and 398.80

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Solution

The fourth proportional to 440.11, 660.57 and 398.80 is: 598.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.11 : 660.57 = 398.80 : x
  2. Step 2: Convert to fraction form
    440.11/660.57 = 398.80/x
  3. Step 3: Cross multiply
    440.11x = 660.57 × 398.80
  4. Step 4: Simplify right side
    440.11x = 263,435.32
  5. Step 5: Solve for x
    x = 263,435.32/440.11
  6. Step 6: Final answer
    x = 598.57

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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.