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Finding the Fourth Proportional to 454.87, 682.44 and 177.31

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Solution

The fourth proportional to 454.87, 682.44 and 177.31 is: 266.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.87 : 682.44 = 177.31 : x
  2. Step 2: Convert to fraction form
    454.87/682.44 = 177.31/x
  3. Step 3: Cross multiply
    454.87x = 682.44 × 177.31
  4. Step 4: Simplify right side
    454.87x = 121,003.44
  5. Step 5: Solve for x
    x = 121,003.44/454.87
  6. Step 6: Final answer
    x = 266.02

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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.