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Finding the Fourth Proportional to 609.62, 841.31 and 344.09

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Solution

The fourth proportional to 609.62, 841.31 and 344.09 is: 474.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.62 : 841.31 = 344.09 : x
  2. Step 2: Convert to fraction form
    609.62/841.31 = 344.09/x
  3. Step 3: Cross multiply
    609.62x = 841.31 × 344.09
  4. Step 4: Simplify right side
    609.62x = 289,480.43
  5. Step 5: Solve for x
    x = 289,480.43/609.62
  6. Step 6: Final answer
    x = 474.86

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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.