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Finding the Fourth Proportional to 330.27, 494.74 and 193.04

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Solution

The fourth proportional to 330.27, 494.74 and 193.04 is: 289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.27 : 494.74 = 193.04 : x
  2. Step 2: Convert to fraction form
    330.27/494.74 = 193.04/x
  3. Step 3: Cross multiply
    330.27x = 494.74 × 193.04
  4. Step 4: Simplify right side
    330.27x = 95,504.61
  5. Step 5: Solve for x
    x = 95,504.61/330.27
  6. Step 6: Final answer
    x = 289.17

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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.