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Finding the Fourth Proportional to 329.96, 494.80 and 227.24

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Solution

The fourth proportional to 329.96, 494.80 and 227.24 is: 340.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.96 : 494.80 = 227.24 : x
  2. Step 2: Convert to fraction form
    329.96/494.80 = 227.24/x
  3. Step 3: Cross multiply
    329.96x = 494.80 × 227.24
  4. Step 4: Simplify right side
    329.96x = 112,438.35
  5. Step 5: Solve for x
    x = 112,438.35/329.96
  6. Step 6: Final answer
    x = 340.76

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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.