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Finding the Fourth Proportional to 606.46, 836.77 and 367.18

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Solution

The fourth proportional to 606.46, 836.77 and 367.18 is: 506.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.46 : 836.77 = 367.18 : x
  2. Step 2: Convert to fraction form
    606.46/836.77 = 367.18/x
  3. Step 3: Cross multiply
    606.46x = 836.77 × 367.18
  4. Step 4: Simplify right side
    606.46x = 307,245.21
  5. Step 5: Solve for x
    x = 307,245.21/606.46
  6. Step 6: Final answer
    x = 506.62

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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.