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Finding the Fourth Proportional to 441.35, 661.47 and 209.73

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Solution

The fourth proportional to 441.35, 661.47 and 209.73 is: 314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.35 : 661.47 = 209.73 : x
  2. Step 2: Convert to fraction form
    441.35/661.47 = 209.73/x
  3. Step 3: Cross multiply
    441.35x = 661.47 × 209.73
  4. Step 4: Simplify right side
    441.35x = 138,730.10
  5. Step 5: Solve for x
    x = 138,730.10/441.35
  6. Step 6: Final answer
    x = 314.33

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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.