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Finding the Fourth Proportional to 331.52, 496.68 and 209.48

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Solution

The fourth proportional to 331.52, 496.68 and 209.48 is: 313.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.52 : 496.68 = 209.48 : x
  2. Step 2: Convert to fraction form
    331.52/496.68 = 209.48/x
  3. Step 3: Cross multiply
    331.52x = 496.68 × 209.48
  4. Step 4: Simplify right side
    331.52x = 104,044.53
  5. Step 5: Solve for x
    x = 104,044.53/331.52
  6. Step 6: Final answer
    x = 313.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.