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Finding the Fourth Proportional to 331.75, 457.41 and 257.77

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Solution

The fourth proportional to 331.75, 457.41 and 257.77 is: 355.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.75 : 457.41 = 257.77 : x
  2. Step 2: Convert to fraction form
    331.75/457.41 = 257.77/x
  3. Step 3: Cross multiply
    331.75x = 457.41 × 257.77
  4. Step 4: Simplify right side
    331.75x = 117,906.58
  5. Step 5: Solve for x
    x = 117,906.58/331.75
  6. Step 6: Final answer
    x = 355.41

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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.