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Finding the Fourth Proportional to 606.35, 836.71 and 344.31

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Solution

The fourth proportional to 606.35, 836.71 and 344.31 is: 475.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.35 : 836.71 = 344.31 : x
  2. Step 2: Convert to fraction form
    606.35/836.71 = 344.31/x
  3. Step 3: Cross multiply
    606.35x = 836.71 × 344.31
  4. Step 4: Simplify right side
    606.35x = 288,087.62
  5. Step 5: Solve for x
    x = 288,087.62/606.35
  6. Step 6: Final answer
    x = 475.12

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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.