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Finding the Fourth Proportional to 662.40, 991.71 and 440.37

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Solution

The fourth proportional to 662.40, 991.71 and 440.37 is: 659.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.40 : 991.71 = 440.37 : x
  2. Step 2: Convert to fraction form
    662.40/991.71 = 440.37/x
  3. Step 3: Cross multiply
    662.40x = 991.71 × 440.37
  4. Step 4: Simplify right side
    662.40x = 436,719.33
  5. Step 5: Solve for x
    x = 436,719.33/662.40
  6. Step 6: Final answer
    x = 659.30

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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.