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Finding the Fourth Proportional to 327.48, 491.25 and 229.68

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Solution

The fourth proportional to 327.48, 491.25 and 229.68 is: 344.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.48 : 491.25 = 229.68 : x
  2. Step 2: Convert to fraction form
    327.48/491.25 = 229.68/x
  3. Step 3: Cross multiply
    327.48x = 491.25 × 229.68
  4. Step 4: Simplify right side
    327.48x = 112,830.30
  5. Step 5: Solve for x
    x = 112,830.30/327.48
  6. Step 6: Final answer
    x = 344.54

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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.