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Finding the Fourth Proportional to 327, 490.47 and 83.53

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Solution

The fourth proportional to 327, 490.47 and 83.53 is: 125.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    327 : 490.47 = 83.53 : x
  2. Step 2: Convert to fraction form
    327/490.47 = 83.53/x
  3. Step 3: Cross multiply
    327x = 490.47 × 83.53
  4. Step 4: Simplify right side
    327x = 40,968.96
  5. Step 5: Solve for x
    x = 40,968.96/327
  6. Step 6: Final answer
    x = 125.29

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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.