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Finding the Fourth Proportional to 329.73, 454.45 and 219

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Solution

The fourth proportional to 329.73, 454.45 and 219 is: 301.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.73 : 454.45 = 219 : x
  2. Step 2: Convert to fraction form
    329.73/454.45 = 219/x
  3. Step 3: Cross multiply
    329.73x = 454.45 × 219
  4. Step 4: Simplify right side
    329.73x = 99,524.55
  5. Step 5: Solve for x
    x = 99,524.55/329.73
  6. Step 6: Final answer
    x = 301.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.