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Finding the Fourth Proportional to 329.79, 454.96 and 219.34

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Solution

The fourth proportional to 329.79, 454.96 and 219.34 is: 302.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.79 : 454.96 = 219.34 : x
  2. Step 2: Convert to fraction form
    329.79/454.96 = 219.34/x
  3. Step 3: Cross multiply
    329.79x = 454.96 × 219.34
  4. Step 4: Simplify right side
    329.79x = 99,789.24
  5. Step 5: Solve for x
    x = 99,789.24/329.79
  6. Step 6: Final answer
    x = 302.58

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