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Finding the Fourth Proportional to 579.23, 799.28 and 343.26

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Solution

The fourth proportional to 579.23, 799.28 and 343.26 is: 473.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.23 : 799.28 = 343.26 : x
  2. Step 2: Convert to fraction form
    579.23/799.28 = 343.26/x
  3. Step 3: Cross multiply
    579.23x = 799.28 × 343.26
  4. Step 4: Simplify right side
    579.23x = 274,360.85
  5. Step 5: Solve for x
    x = 274,360.85/579.23
  6. Step 6: Final answer
    x = 473.66

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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.