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Finding the Fourth Proportional to 976.43, 1,464.78 and 327

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Solution

The fourth proportional to 976.43, 1,464.78 and 327 is: 490.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.43 : 1,464.78 = 327 : x
  2. Step 2: Convert to fraction form
    976.43/1,464.78 = 327/x
  3. Step 3: Cross multiply
    976.43x = 1,464.78 × 327
  4. Step 4: Simplify right side
    976.43x = 478,983.06
  5. Step 5: Solve for x
    x = 478,983.06/976.43
  6. Step 6: Final answer
    x = 490.55

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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.