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Finding the Fourth Proportional to 329.74, 493.57 and 243.17

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Solution

The fourth proportional to 329.74, 493.57 and 243.17 is: 363.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.74 : 493.57 = 243.17 : x
  2. Step 2: Convert to fraction form
    329.74/493.57 = 243.17/x
  3. Step 3: Cross multiply
    329.74x = 493.57 × 243.17
  4. Step 4: Simplify right side
    329.74x = 120,021.42
  5. Step 5: Solve for x
    x = 120,021.42/329.74
  6. Step 6: Final answer
    x = 363.99

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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.