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Finding the Fourth Proportional to 325.67, 489.05 and 311.63

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Solution

The fourth proportional to 325.67, 489.05 and 311.63 is: 467.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.67 : 489.05 = 311.63 : x
  2. Step 2: Convert to fraction form
    325.67/489.05 = 311.63/x
  3. Step 3: Cross multiply
    325.67x = 489.05 × 311.63
  4. Step 4: Simplify right side
    325.67x = 152,401.09
  5. Step 5: Solve for x
    x = 152,401.09/325.67
  6. Step 6: Final answer
    x = 467.96

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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.