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Finding the Fourth Proportional to 352.98, 486.58 and 226.92

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Solution

The fourth proportional to 352.98, 486.58 and 226.92 is: 312.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.98 : 486.58 = 226.92 : x
  2. Step 2: Convert to fraction form
    352.98/486.58 = 226.92/x
  3. Step 3: Cross multiply
    352.98x = 486.58 × 226.92
  4. Step 4: Simplify right side
    352.98x = 110,414.73
  5. Step 5: Solve for x
    x = 110,414.73/352.98
  6. Step 6: Final answer
    x = 312.81

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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.