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Finding the Fourth Proportional to 440.91, 661.13 and 206.60

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Solution

The fourth proportional to 440.91, 661.13 and 206.60 is: 309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.91 : 661.13 = 206.60 : x
  2. Step 2: Convert to fraction form
    440.91/661.13 = 206.60/x
  3. Step 3: Cross multiply
    440.91x = 661.13 × 206.60
  4. Step 4: Simplify right side
    440.91x = 136,589.61
  5. Step 5: Solve for x
    x = 136,589.61/440.91
  6. Step 6: Final answer
    x = 309.79

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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.