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Finding the Fourth Proportional to 331.53, 497.22 and 209.62

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Solution

The fourth proportional to 331.53, 497.22 and 209.62 is: 314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.53 : 497.22 = 209.62 : x
  2. Step 2: Convert to fraction form
    331.53/497.22 = 209.62/x
  3. Step 3: Cross multiply
    331.53x = 497.22 × 209.62
  4. Step 4: Simplify right side
    331.53x = 104,227.26
  5. Step 5: Solve for x
    x = 104,227.26/331.53
  6. Step 6: Final answer
    x = 314.38

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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.