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Finding the Fourth Proportional to 331.66, 496.71 and 209.56

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Solution

The fourth proportional to 331.66, 496.71 and 209.56 is: 313.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.66 : 496.71 = 209.56 : x
  2. Step 2: Convert to fraction form
    331.66/496.71 = 209.56/x
  3. Step 3: Cross multiply
    331.66x = 496.71 × 209.56
  4. Step 4: Simplify right side
    331.66x = 104,090.55
  5. Step 5: Solve for x
    x = 104,090.55/331.66
  6. Step 6: Final answer
    x = 313.85

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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.