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Finding the Fourth Proportional to 454.34, 682.06 and 271.82

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Solution

The fourth proportional to 454.34, 682.06 and 271.82 is: 408.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.34 : 682.06 = 271.82 : x
  2. Step 2: Convert to fraction form
    454.34/682.06 = 271.82/x
  3. Step 3: Cross multiply
    454.34x = 682.06 × 271.82
  4. Step 4: Simplify right side
    454.34x = 185,398.57
  5. Step 5: Solve for x
    x = 185,398.57/454.34
  6. Step 6: Final answer
    x = 408.06

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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.