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Finding the Fourth Proportional to 334.12, 461.06 and 209.73

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Solution

The fourth proportional to 334.12, 461.06 and 209.73 is: 289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.12 : 461.06 = 209.73 : x
  2. Step 2: Convert to fraction form
    334.12/461.06 = 209.73/x
  3. Step 3: Cross multiply
    334.12x = 461.06 × 209.73
  4. Step 4: Simplify right side
    334.12x = 96,698.64
  5. Step 5: Solve for x
    x = 96,698.64/334.12
  6. Step 6: Final answer
    x = 289.42

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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.