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Finding the Fourth Proportional to 450.56, 676.31 and 286.22

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Solution

The fourth proportional to 450.56, 676.31 and 286.22 is: 429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.56 : 676.31 = 286.22 : x
  2. Step 2: Convert to fraction form
    450.56/676.31 = 286.22/x
  3. Step 3: Cross multiply
    450.56x = 676.31 × 286.22
  4. Step 4: Simplify right side
    450.56x = 193,568.64
  5. Step 5: Solve for x
    x = 193,568.64/450.56
  6. Step 6: Final answer
    x = 429.62

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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.