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Finding the Fourth Proportional to 329.94, 494.10 and 226.94

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Solution

The fourth proportional to 329.94, 494.10 and 226.94 is: 339.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.94 : 494.10 = 226.94 : x
  2. Step 2: Convert to fraction form
    329.94/494.10 = 226.94/x
  3. Step 3: Cross multiply
    329.94x = 494.10 × 226.94
  4. Step 4: Simplify right side
    329.94x = 112,128.58
  5. Step 5: Solve for x
    x = 112,128.58/329.94
  6. Step 6: Final answer
    x = 339.85

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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.