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Finding the Fourth Proportional to 579, 799.20 and 346.17

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Solution

The fourth proportional to 579, 799.20 and 346.17 is: 477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    579 : 799.20 = 346.17 : x
  2. Step 2: Convert to fraction form
    579/799.20 = 346.17/x
  3. Step 3: Cross multiply
    579x = 799.20 × 346.17
  4. Step 4: Simplify right side
    579x = 276,659.06
  5. Step 5: Solve for x
    x = 276,659.06/579
  6. Step 6: Final answer
    x = 477.82

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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.