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Finding the Fourth Proportional to 299.18, 448.27 and 287.94

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Solution

The fourth proportional to 299.18, 448.27 and 287.94 is: 431.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.18 : 448.27 = 287.94 : x
  2. Step 2: Convert to fraction form
    299.18/448.27 = 287.94/x
  3. Step 3: Cross multiply
    299.18x = 448.27 × 287.94
  4. Step 4: Simplify right side
    299.18x = 129,074.14
  5. Step 5: Solve for x
    x = 129,074.14/299.18
  6. Step 6: Final answer
    x = 431.43

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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.