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Finding the Fourth Proportional to 329.12, 493.60 and 221.52

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Solution

The fourth proportional to 329.12, 493.60 and 221.52 is: 332.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.12 : 493.60 = 221.52 : x
  2. Step 2: Convert to fraction form
    329.12/493.60 = 221.52/x
  3. Step 3: Cross multiply
    329.12x = 493.60 × 221.52
  4. Step 4: Simplify right side
    329.12x = 109,342.27
  5. Step 5: Solve for x
    x = 109,342.27/329.12
  6. Step 6: Final answer
    x = 332.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.