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Finding the Fourth Proportional to 609.30, 840.81 and 343.74

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Solution

The fourth proportional to 609.30, 840.81 and 343.74 is: 474.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.30 : 840.81 = 343.74 : x
  2. Step 2: Convert to fraction form
    609.30/840.81 = 343.74/x
  3. Step 3: Cross multiply
    609.30x = 840.81 × 343.74
  4. Step 4: Simplify right side
    609.30x = 289,020.03
  5. Step 5: Solve for x
    x = 289,020.03/609.30
  6. Step 6: Final answer
    x = 474.35

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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.