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Finding the Fourth Proportional to 327.71, 491.57 and 84.24

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Solution

The fourth proportional to 327.71, 491.57 and 84.24 is: 126.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.71 : 491.57 = 84.24 : x
  2. Step 2: Convert to fraction form
    327.71/491.57 = 84.24/x
  3. Step 3: Cross multiply
    327.71x = 491.57 × 84.24
  4. Step 4: Simplify right side
    327.71x = 41,409.86
  5. Step 5: Solve for x
    x = 41,409.86/327.71
  6. Step 6: Final answer
    x = 126.36

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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.