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Finding the Fourth Proportional to 355.92, 490.77 and 231.42

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Solution

The fourth proportional to 355.92, 490.77 and 231.42 is: 319.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.92 : 490.77 = 231.42 : x
  2. Step 2: Convert to fraction form
    355.92/490.77 = 231.42/x
  3. Step 3: Cross multiply
    355.92x = 490.77 × 231.42
  4. Step 4: Simplify right side
    355.92x = 113,573.99
  5. Step 5: Solve for x
    x = 113,573.99/355.92
  6. Step 6: Final answer
    x = 319.10

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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.