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Finding the Fourth Proportional to 331.45, 497.31 and 209.68

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Solution

The fourth proportional to 331.45, 497.31 and 209.68 is: 314.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.45 : 497.31 = 209.68 : x
  2. Step 2: Convert to fraction form
    331.45/497.31 = 209.68/x
  3. Step 3: Cross multiply
    331.45x = 497.31 × 209.68
  4. Step 4: Simplify right side
    331.45x = 104,275.96
  5. Step 5: Solve for x
    x = 104,275.96/331.45
  6. Step 6: Final answer
    x = 314.61

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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.