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Finding the Fourth Proportional to 441.14, 661.26 and 209.69

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Solution

The fourth proportional to 441.14, 661.26 and 209.69 is: 314.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.14 : 661.26 = 209.69 : x
  2. Step 2: Convert to fraction form
    441.14/661.26 = 209.69/x
  3. Step 3: Cross multiply
    441.14x = 661.26 × 209.69
  4. Step 4: Simplify right side
    441.14x = 138,655.25
  5. Step 5: Solve for x
    x = 138,655.25/441.14
  6. Step 6: Final answer
    x = 314.31

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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.