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Finding the Fourth Proportional to 369.28, 552.72 and 271.76

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Solution

The fourth proportional to 369.28, 552.72 and 271.76 is: 406.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.28 : 552.72 = 271.76 : x
  2. Step 2: Convert to fraction form
    369.28/552.72 = 271.76/x
  3. Step 3: Cross multiply
    369.28x = 552.72 × 271.76
  4. Step 4: Simplify right side
    369.28x = 150,203.74
  5. Step 5: Solve for x
    x = 150,203.74/369.28
  6. Step 6: Final answer
    x = 406.75

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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.