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Finding the Fourth Proportional to 609.34, 840.87 and 343.79

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Solution

The fourth proportional to 609.34, 840.87 and 343.79 is: 474.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.34 : 840.87 = 343.79 : x
  2. Step 2: Convert to fraction form
    609.34/840.87 = 343.79/x
  3. Step 3: Cross multiply
    609.34x = 840.87 × 343.79
  4. Step 4: Simplify right side
    609.34x = 289,082.70
  5. Step 5: Solve for x
    x = 289,082.70/609.34
  6. Step 6: Final answer
    x = 474.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.