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Finding the Fourth Proportional to 327.42, 491.08 and 96.31

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Solution

The fourth proportional to 327.42, 491.08 and 96.31 is: 144.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.42 : 491.08 = 96.31 : x
  2. Step 2: Convert to fraction form
    327.42/491.08 = 96.31/x
  3. Step 3: Cross multiply
    327.42x = 491.08 × 96.31
  4. Step 4: Simplify right side
    327.42x = 47,294.21
  5. Step 5: Solve for x
    x = 47,294.21/327.42
  6. Step 6: Final answer
    x = 144.44

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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.