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Finding the Fourth Proportional to 397.26, 548.03 and 257.42

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Solution

The fourth proportional to 397.26, 548.03 and 257.42 is: 355.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.26 : 548.03 = 257.42 : x
  2. Step 2: Convert to fraction form
    397.26/548.03 = 257.42/x
  3. Step 3: Cross multiply
    397.26x = 548.03 × 257.42
  4. Step 4: Simplify right side
    397.26x = 141,073.84
  5. Step 5: Solve for x
    x = 141,073.84/397.26
  6. Step 6: Final answer
    x = 355.12

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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.