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Finding the Fourth Proportional to 454.28, 682.02 and 271.76

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Solution

The fourth proportional to 454.28, 682.02 and 271.76 is: 408.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.28 : 682.02 = 271.76 : x
  2. Step 2: Convert to fraction form
    454.28/682.02 = 271.76/x
  3. Step 3: Cross multiply
    454.28x = 682.02 × 271.76
  4. Step 4: Simplify right side
    454.28x = 185,345.76
  5. Step 5: Solve for x
    x = 185,345.76/454.28
  6. Step 6: Final answer
    x = 408.00

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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.