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Finding the Fourth Proportional to 355.80, 490.92 and 231.36

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Solution

The fourth proportional to 355.80, 490.92 and 231.36 is: 319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.80 : 490.92 = 231.36 : x
  2. Step 2: Convert to fraction form
    355.80/490.92 = 231.36/x
  3. Step 3: Cross multiply
    355.80x = 490.92 × 231.36
  4. Step 4: Simplify right side
    355.80x = 113,579.25
  5. Step 5: Solve for x
    x = 113,579.25/355.80
  6. Step 6: Final answer
    x = 319.22

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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.