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Finding the Fourth Proportional to 331.75, 457.98 and 207.48

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Solution

The fourth proportional to 331.75, 457.98 and 207.48 is: 286.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.75 : 457.98 = 207.48 : x
  2. Step 2: Convert to fraction form
    331.75/457.98 = 207.48/x
  3. Step 3: Cross multiply
    331.75x = 457.98 × 207.48
  4. Step 4: Simplify right side
    331.75x = 95,020.05
  5. Step 5: Solve for x
    x = 95,020.05/331.75
  6. Step 6: Final answer
    x = 286.42

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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.