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Finding the Fourth Proportional to 397.68, 548.49 and 257.55

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Solution

The fourth proportional to 397.68, 548.49 and 257.55 is: 355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.68 : 548.49 = 257.55 : x
  2. Step 2: Convert to fraction form
    397.68/548.49 = 257.55/x
  3. Step 3: Cross multiply
    397.68x = 548.49 × 257.55
  4. Step 4: Simplify right side
    397.68x = 141,263.60
  5. Step 5: Solve for x
    x = 141,263.60/397.68
  6. Step 6: Final answer
    x = 355.22

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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.