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Finding the Fourth Proportional to 606.10, 836.51 and 344.14

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Solution

The fourth proportional to 606.10, 836.51 and 344.14 is: 474.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.10 : 836.51 = 344.14 : x
  2. Step 2: Convert to fraction form
    606.10/836.51 = 344.14/x
  3. Step 3: Cross multiply
    606.10x = 836.51 × 344.14
  4. Step 4: Simplify right side
    606.10x = 287,876.55
  5. Step 5: Solve for x
    x = 287,876.55/606.10
  6. Step 6: Final answer
    x = 474.97

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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.