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Finding the Fourth Proportional to 397.73, 548.03 and 299.32

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Solution

The fourth proportional to 397.73, 548.03 and 299.32 is: 412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.73 : 548.03 = 299.32 : x
  2. Step 2: Convert to fraction form
    397.73/548.03 = 299.32/x
  3. Step 3: Cross multiply
    397.73x = 548.03 × 299.32
  4. Step 4: Simplify right side
    397.73x = 164,035.72
  5. Step 5: Solve for x
    x = 164,035.72/397.73
  6. Step 6: Final answer
    x = 412.43

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Why These Related Problems?

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