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Finding the Fourth Proportional to 976.22, 1,464.02 and 326.80

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Solution

The fourth proportional to 976.22, 1,464.02 and 326.80 is: 490.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.22 : 1,464.02 = 326.80 : x
  2. Step 2: Convert to fraction form
    976.22/1,464.02 = 326.80/x
  3. Step 3: Cross multiply
    976.22x = 1,464.02 × 326.80
  4. Step 4: Simplify right side
    976.22x = 478,436.44
  5. Step 5: Solve for x
    x = 478,436.44/976.22
  6. Step 6: Final answer
    x = 490.09

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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.