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Finding the Fourth Proportional to 394.08, 590.91 and 279.27

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Solution

The fourth proportional to 394.08, 590.91 and 279.27 is: 418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.08 : 590.91 = 279.27 : x
  2. Step 2: Convert to fraction form
    394.08/590.91 = 279.27/x
  3. Step 3: Cross multiply
    394.08x = 590.91 × 279.27
  4. Step 4: Simplify right side
    394.08x = 165,023.44
  5. Step 5: Solve for x
    x = 165,023.44/394.08
  6. Step 6: Final answer
    x = 418.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.