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Finding the Fourth Proportional to 579.53, 799.71 and 343.43

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Solution

The fourth proportional to 579.53, 799.71 and 343.43 is: 473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.53 : 799.71 = 343.43 : x
  2. Step 2: Convert to fraction form
    579.53/799.71 = 343.43/x
  3. Step 3: Cross multiply
    579.53x = 799.71 × 343.43
  4. Step 4: Simplify right side
    579.53x = 274,640.41
  5. Step 5: Solve for x
    x = 274,640.41/579.53
  6. Step 6: Final answer
    x = 473.91

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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.