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Finding the Fourth Proportional to 606.83, 836.89 and 410.61

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Solution

The fourth proportional to 606.83, 836.89 and 410.61 is: 566.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.83 : 836.89 = 410.61 : x
  2. Step 2: Convert to fraction form
    606.83/836.89 = 410.61/x
  3. Step 3: Cross multiply
    606.83x = 836.89 × 410.61
  4. Step 4: Simplify right side
    606.83x = 343,633.35
  5. Step 5: Solve for x
    x = 343,633.35/606.83
  6. Step 6: Final answer
    x = 566.28

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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.