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Finding the Fourth Proportional to 299.94, 449.42 and 288.54

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Solution

The fourth proportional to 299.94, 449.42 and 288.54 is: 432.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.94 : 449.42 = 288.54 : x
  2. Step 2: Convert to fraction form
    299.94/449.42 = 288.54/x
  3. Step 3: Cross multiply
    299.94x = 449.42 × 288.54
  4. Step 4: Simplify right side
    299.94x = 129,674.20
  5. Step 5: Solve for x
    x = 129,674.20/299.94
  6. Step 6: Final answer
    x = 432.33

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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.