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Finding the Fourth Proportional to 299.36, 447.78 and 207.77

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Solution

The fourth proportional to 299.36, 447.78 and 207.77 is: 310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.36 : 447.78 = 207.77 : x
  2. Step 2: Convert to fraction form
    299.36/447.78 = 207.77/x
  3. Step 3: Cross multiply
    299.36x = 447.78 × 207.77
  4. Step 4: Simplify right side
    299.36x = 93,033.01
  5. Step 5: Solve for x
    x = 93,033.01/299.36
  6. Step 6: Final answer
    x = 310.78

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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.