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Finding the Fourth Proportional to 327.33, 491.52 and 190.47

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Solution

The fourth proportional to 327.33, 491.52 and 190.47 is: 286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.33 : 491.52 = 190.47 : x
  2. Step 2: Convert to fraction form
    327.33/491.52 = 190.47/x
  3. Step 3: Cross multiply
    327.33x = 491.52 × 190.47
  4. Step 4: Simplify right side
    327.33x = 93,621.30
  5. Step 5: Solve for x
    x = 93,621.30/327.33
  6. Step 6: Final answer
    x = 286.02

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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.