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Finding the Fourth Proportional to 609.62, 841.29 and 344.06

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Solution

The fourth proportional to 609.62, 841.29 and 344.06 is: 474.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.62 : 841.29 = 344.06 : x
  2. Step 2: Convert to fraction form
    609.62/841.29 = 344.06/x
  3. Step 3: Cross multiply
    609.62x = 841.29 × 344.06
  4. Step 4: Simplify right side
    609.62x = 289,450.03
  5. Step 5: Solve for x
    x = 289,450.03/609.62
  6. Step 6: Final answer
    x = 474.81

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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.