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Finding the Fourth Proportional to 329.52, 493.56 and 201.12

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Solution

The fourth proportional to 329.52, 493.56 and 201.12 is: 301.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.52 : 493.56 = 201.12 : x
  2. Step 2: Convert to fraction form
    329.52/493.56 = 201.12/x
  3. Step 3: Cross multiply
    329.52x = 493.56 × 201.12
  4. Step 4: Simplify right side
    329.52x = 99,264.79
  5. Step 5: Solve for x
    x = 99,264.79/329.52
  6. Step 6: Final answer
    x = 301.24

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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.