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Finding the Fourth Proportional to 327.44, 491.28 and 266.72

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Solution

The fourth proportional to 327.44, 491.28 and 266.72 is: 400.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.44 : 491.28 = 266.72 : x
  2. Step 2: Convert to fraction form
    327.44/491.28 = 266.72/x
  3. Step 3: Cross multiply
    327.44x = 491.28 × 266.72
  4. Step 4: Simplify right side
    327.44x = 131,034.20
  5. Step 5: Solve for x
    x = 131,034.20/327.44
  6. Step 6: Final answer
    x = 400.18

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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.