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Finding the Fourth Proportional to 609.41, 840.94 and 343.89

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Solution

The fourth proportional to 609.41, 840.94 and 343.89 is: 474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.41 : 840.94 = 343.89 : x
  2. Step 2: Convert to fraction form
    609.41/840.94 = 343.89/x
  3. Step 3: Cross multiply
    609.41x = 840.94 × 343.89
  4. Step 4: Simplify right side
    609.41x = 289,188.75
  5. Step 5: Solve for x
    x = 289,188.75/609.41
  6. Step 6: Final answer
    x = 474.54

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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.