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Finding the Fourth Proportional to 331.85, 457.42 and 261.79

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Solution

The fourth proportional to 331.85, 457.42 and 261.79 is: 360.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.85 : 457.42 = 261.79 : x
  2. Step 2: Convert to fraction form
    331.85/457.42 = 261.79/x
  3. Step 3: Cross multiply
    331.85x = 457.42 × 261.79
  4. Step 4: Simplify right side
    331.85x = 119,747.98
  5. Step 5: Solve for x
    x = 119,747.98/331.85
  6. Step 6: Final answer
    x = 360.85

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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.