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Finding the Fourth Proportional to 441.10, 661.49 and 209.81

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Solution

The fourth proportional to 441.10, 661.49 and 209.81 is: 314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.10 : 661.49 = 209.81 : x
  2. Step 2: Convert to fraction form
    441.10/661.49 = 209.81/x
  3. Step 3: Cross multiply
    441.10x = 661.49 × 209.81
  4. Step 4: Simplify right side
    441.10x = 138,788.65
  5. Step 5: Solve for x
    x = 138,788.65/441.10
  6. Step 6: Final answer
    x = 314.64

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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.