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Finding the Fourth Proportional to 397.86, 548.82 and 287.52

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Solution

The fourth proportional to 397.86, 548.82 and 287.52 is: 396.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.86 : 548.82 = 287.52 : x
  2. Step 2: Convert to fraction form
    397.86/548.82 = 287.52/x
  3. Step 3: Cross multiply
    397.86x = 548.82 × 287.52
  4. Step 4: Simplify right side
    397.86x = 157,796.73
  5. Step 5: Solve for x
    x = 157,796.73/397.86
  6. Step 6: Final answer
    x = 396.61

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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.