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Finding the Fourth Proportional to 327.56, 491.33 and 96.46

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Solution

The fourth proportional to 327.56, 491.33 and 96.46 is: 144.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.56 : 491.33 = 96.46 : x
  2. Step 2: Convert to fraction form
    327.56/491.33 = 96.46/x
  3. Step 3: Cross multiply
    327.56x = 491.33 × 96.46
  4. Step 4: Simplify right side
    327.56x = 47,393.69
  5. Step 5: Solve for x
    x = 47,393.69/327.56
  6. Step 6: Final answer
    x = 144.69

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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.