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Finding the Fourth Proportional to 412.11, 618.63 and 330.99

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Solution

The fourth proportional to 412.11, 618.63 and 330.99 is: 496.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.11 : 618.63 = 330.99 : x
  2. Step 2: Convert to fraction form
    412.11/618.63 = 330.99/x
  3. Step 3: Cross multiply
    412.11x = 618.63 × 330.99
  4. Step 4: Simplify right side
    412.11x = 204,760.34
  5. Step 5: Solve for x
    x = 204,760.34/412.11
  6. Step 6: Final answer
    x = 496.86

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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.