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Finding the Fourth Proportional to 454.16, 682.16 and 271.90

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Solution

The fourth proportional to 454.16, 682.16 and 271.90 is: 408.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.16 : 682.16 = 271.90 : x
  2. Step 2: Convert to fraction form
    454.16/682.16 = 271.90/x
  3. Step 3: Cross multiply
    454.16x = 682.16 × 271.90
  4. Step 4: Simplify right side
    454.16x = 185,479.30
  5. Step 5: Solve for x
    x = 185,479.30/454.16
  6. Step 6: Final answer
    x = 408.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.