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Finding the Fourth Proportional to 329.60, 494.16 and 221.16

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Solution

The fourth proportional to 329.60, 494.16 and 221.16 is: 331.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.60 : 494.16 = 221.16 : x
  2. Step 2: Convert to fraction form
    329.60/494.16 = 221.16/x
  3. Step 3: Cross multiply
    329.60x = 494.16 × 221.16
  4. Step 4: Simplify right side
    329.60x = 109,288.43
  5. Step 5: Solve for x
    x = 109,288.43/329.60
  6. Step 6: Final answer
    x = 331.58

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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.