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Finding the Fourth Proportional to 300.28, 447.22 and 280.24

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Solution

The fourth proportional to 300.28, 447.22 and 280.24 is: 417.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.28 : 447.22 = 280.24 : x
  2. Step 2: Convert to fraction form
    300.28/447.22 = 280.24/x
  3. Step 3: Cross multiply
    300.28x = 447.22 × 280.24
  4. Step 4: Simplify right side
    300.28x = 125,328.93
  5. Step 5: Solve for x
    x = 125,328.93/300.28
  6. Step 6: Final answer
    x = 417.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.