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Finding the Fourth Proportional to 329.53, 494.22 and 227.47

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Solution

The fourth proportional to 329.53, 494.22 and 227.47 is: 341.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.53 : 494.22 = 227.47 : x
  2. Step 2: Convert to fraction form
    329.53/494.22 = 227.47/x
  3. Step 3: Cross multiply
    329.53x = 494.22 × 227.47
  4. Step 4: Simplify right side
    329.53x = 112,422.03
  5. Step 5: Solve for x
    x = 112,422.03/329.53
  6. Step 6: Final answer
    x = 341.16

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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.