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Finding the Fourth Proportional to 300.20, 449.46 and 213.06

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Solution

The fourth proportional to 300.20, 449.46 and 213.06 is: 319.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.20 : 449.46 = 213.06 : x
  2. Step 2: Convert to fraction form
    300.20/449.46 = 213.06/x
  3. Step 3: Cross multiply
    300.20x = 449.46 × 213.06
  4. Step 4: Simplify right side
    300.20x = 95,761.95
  5. Step 5: Solve for x
    x = 95,761.95/300.20
  6. Step 6: Final answer
    x = 319.00

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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.