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Finding the Fourth Proportional to 327.88, 490.48 and 275.47

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Solution

The fourth proportional to 327.88, 490.48 and 275.47 is: 412.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.88 : 490.48 = 275.47 : x
  2. Step 2: Convert to fraction form
    327.88/490.48 = 275.47/x
  3. Step 3: Cross multiply
    327.88x = 490.48 × 275.47
  4. Step 4: Simplify right side
    327.88x = 135,112.53
  5. Step 5: Solve for x
    x = 135,112.53/327.88
  6. Step 6: Final answer
    x = 412.08

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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.