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Finding the Fourth Proportional to 606.09, 836.66 and 409.87

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Solution

The fourth proportional to 606.09, 836.66 and 409.87 is: 565.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.09 : 836.66 = 409.87 : x
  2. Step 2: Convert to fraction form
    606.09/836.66 = 409.87/x
  3. Step 3: Cross multiply
    606.09x = 836.66 × 409.87
  4. Step 4: Simplify right side
    606.09x = 342,921.83
  5. Step 5: Solve for x
    x = 342,921.83/606.09
  6. Step 6: Final answer
    x = 565.79

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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.