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Finding the Fourth Proportional to 609.36, 840.76 and 343.84

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Solution

The fourth proportional to 609.36, 840.76 and 343.84 is: 474.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.36 : 840.76 = 343.84 : x
  2. Step 2: Convert to fraction form
    609.36/840.76 = 343.84/x
  3. Step 3: Cross multiply
    609.36x = 840.76 × 343.84
  4. Step 4: Simplify right side
    609.36x = 289,086.92
  5. Step 5: Solve for x
    x = 289,086.92/609.36
  6. Step 6: Final answer
    x = 474.41

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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.