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Finding the Fourth Proportional to 579.74, 799.85 and 343.62

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Solution

The fourth proportional to 579.74, 799.85 and 343.62 is: 474.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.74 : 799.85 = 343.62 : x
  2. Step 2: Convert to fraction form
    579.74/799.85 = 343.62/x
  3. Step 3: Cross multiply
    579.74x = 799.85 × 343.62
  4. Step 4: Simplify right side
    579.74x = 274,838.74
  5. Step 5: Solve for x
    x = 274,838.74/579.74
  6. Step 6: Final answer
    x = 474.07

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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.