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Finding the Fourth Proportional to 327.88, 491.38 and 281.91

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Solution

The fourth proportional to 327.88, 491.38 and 281.91 is: 422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.88 : 491.38 = 281.91 : x
  2. Step 2: Convert to fraction form
    327.88/491.38 = 281.91/x
  3. Step 3: Cross multiply
    327.88x = 491.38 × 281.91
  4. Step 4: Simplify right side
    327.88x = 138,527.66
  5. Step 5: Solve for x
    x = 138,527.66/327.88
  6. Step 6: Final answer
    x = 422.50

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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.