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Finding the Fourth Proportional to 397.67, 548.70 and 338.90

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Solution

The fourth proportional to 397.67, 548.70 and 338.90 is: 467.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.67 : 548.70 = 338.90 : x
  2. Step 2: Convert to fraction form
    397.67/548.70 = 338.90/x
  3. Step 3: Cross multiply
    397.67x = 548.70 × 338.90
  4. Step 4: Simplify right side
    397.67x = 185,954.43
  5. Step 5: Solve for x
    x = 185,954.43/397.67
  6. Step 6: Final answer
    x = 467.61

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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.