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Finding the Fourth Proportional to 976.18, 1,464.27 and 326.96

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Solution

The fourth proportional to 976.18, 1,464.27 and 326.96 is: 490.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.18 : 1,464.27 = 326.96 : x
  2. Step 2: Convert to fraction form
    976.18/1,464.27 = 326.96/x
  3. Step 3: Cross multiply
    976.18x = 1,464.27 × 326.96
  4. Step 4: Simplify right side
    976.18x = 478,757.72
  5. Step 5: Solve for x
    x = 478,757.72/976.18
  6. Step 6: Final answer
    x = 490.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.