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Finding the Fourth Proportional to 397.78, 548.99 and 273.34

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Solution

The fourth proportional to 397.78, 548.99 and 273.34 is: 377.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.78 : 548.99 = 273.34 : x
  2. Step 2: Convert to fraction form
    397.78/548.99 = 273.34/x
  3. Step 3: Cross multiply
    397.78x = 548.99 × 273.34
  4. Step 4: Simplify right side
    397.78x = 150,060.93
  5. Step 5: Solve for x
    x = 150,060.93/397.78
  6. Step 6: Final answer
    x = 377.25

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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.