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Finding the Fourth Proportional to 397.92, 548.24 and 299.48

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Solution

The fourth proportional to 397.92, 548.24 and 299.48 is: 412.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.92 : 548.24 = 299.48 : x
  2. Step 2: Convert to fraction form
    397.92/548.24 = 299.48/x
  3. Step 3: Cross multiply
    397.92x = 548.24 × 299.48
  4. Step 4: Simplify right side
    397.92x = 164,186.92
  5. Step 5: Solve for x
    x = 164,186.92/397.92
  6. Step 6: Final answer
    x = 412.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.