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Finding the Fourth Proportional to 300.38, 449.62 and 208.79

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Solution

The fourth proportional to 300.38, 449.62 and 208.79 is: 312.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.38 : 449.62 = 208.79 : x
  2. Step 2: Convert to fraction form
    300.38/449.62 = 208.79/x
  3. Step 3: Cross multiply
    300.38x = 449.62 × 208.79
  4. Step 4: Simplify right side
    300.38x = 93,875.08
  5. Step 5: Solve for x
    x = 93,875.08/300.38
  6. Step 6: Final answer
    x = 312.53

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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.