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Finding the Fourth Proportional to 329.52, 493.74 and 221.34

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Solution

The fourth proportional to 329.52, 493.74 and 221.34 is: 331.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.52 : 493.74 = 221.34 : x
  2. Step 2: Convert to fraction form
    329.52/493.74 = 221.34/x
  3. Step 3: Cross multiply
    329.52x = 493.74 × 221.34
  4. Step 4: Simplify right side
    329.52x = 109,284.41
  5. Step 5: Solve for x
    x = 109,284.41/329.52
  6. Step 6: Final answer
    x = 331.65

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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.