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Finding the Fourth Proportional to 300.96, 450.66 and 255.21

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Solution

The fourth proportional to 300.96, 450.66 and 255.21 is: 382.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.96 : 450.66 = 255.21 : x
  2. Step 2: Convert to fraction form
    300.96/450.66 = 255.21/x
  3. Step 3: Cross multiply
    300.96x = 450.66 × 255.21
  4. Step 4: Simplify right side
    300.96x = 115,012.94
  5. Step 5: Solve for x
    x = 115,012.94/300.96
  6. Step 6: Final answer
    x = 382.15

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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.