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Finding the Fourth Proportional to 579.11, 799.22 and 346.23

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Solution

The fourth proportional to 579.11, 799.22 and 346.23 is: 477.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.11 : 799.22 = 346.23 : x
  2. Step 2: Convert to fraction form
    579.11/799.22 = 346.23/x
  3. Step 3: Cross multiply
    579.11x = 799.22 × 346.23
  4. Step 4: Simplify right side
    579.11x = 276,714.81
  5. Step 5: Solve for x
    x = 276,714.81/579.11
  6. Step 6: Final answer
    x = 477.83

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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.