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Finding the Fourth Proportional to 660.02, 990.14 and 331.11

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Solution

The fourth proportional to 660.02, 990.14 and 331.11 is: 496.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.02 : 990.14 = 331.11 : x
  2. Step 2: Convert to fraction form
    660.02/990.14 = 331.11/x
  3. Step 3: Cross multiply
    660.02x = 990.14 × 331.11
  4. Step 4: Simplify right side
    660.02x = 327,843.60
  5. Step 5: Solve for x
    x = 327,843.60/660.02
  6. Step 6: Final answer
    x = 496.72

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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.