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Finding the Fourth Proportional to 606.08, 836.82 and 409.96

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Solution

The fourth proportional to 606.08, 836.82 and 409.96 is: 566.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.08 : 836.82 = 409.96 : x
  2. Step 2: Convert to fraction form
    606.08/836.82 = 409.96/x
  3. Step 3: Cross multiply
    606.08x = 836.82 × 409.96
  4. Step 4: Simplify right side
    606.08x = 343,062.73
  5. Step 5: Solve for x
    x = 343,062.73/606.08
  6. Step 6: Final answer
    x = 566.04

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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.