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Finding the Fourth Proportional to 606.07, 836.69 and 409.85

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Solution

The fourth proportional to 606.07, 836.69 and 409.85 is: 565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.07 : 836.69 = 409.85 : x
  2. Step 2: Convert to fraction form
    606.07/836.69 = 409.85/x
  3. Step 3: Cross multiply
    606.07x = 836.69 × 409.85
  4. Step 4: Simplify right side
    606.07x = 342,917.40
  5. Step 5: Solve for x
    x = 342,917.40/606.07
  6. Step 6: Final answer
    x = 565.80

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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.