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Finding the Fourth Proportional to 606.11, 836.39 and 409.68

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Solution

The fourth proportional to 606.11, 836.39 and 409.68 is: 565.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.11 : 836.39 = 409.68 : x
  2. Step 2: Convert to fraction form
    606.11/836.39 = 409.68/x
  3. Step 3: Cross multiply
    606.11x = 836.39 × 409.68
  4. Step 4: Simplify right side
    606.11x = 342,653.28
  5. Step 5: Solve for x
    x = 342,653.28/606.11
  6. Step 6: Final answer
    x = 565.34

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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.