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Finding the Fourth Proportional to 325.69, 489.29 and 204.04

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Solution

The fourth proportional to 325.69, 489.29 and 204.04 is: 306.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.69 : 489.29 = 204.04 : x
  2. Step 2: Convert to fraction form
    325.69/489.29 = 204.04/x
  3. Step 3: Cross multiply
    325.69x = 489.29 × 204.04
  4. Step 4: Simplify right side
    325.69x = 99,834.73
  5. Step 5: Solve for x
    x = 99,834.73/325.69
  6. Step 6: Final answer
    x = 306.53

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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.