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Finding the Fourth Proportional to 286.22, 428.86 and 275.56

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Solution

The fourth proportional to 286.22, 428.86 and 275.56 is: 412.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.22 : 428.86 = 275.56 : x
  2. Step 2: Convert to fraction form
    286.22/428.86 = 275.56/x
  3. Step 3: Cross multiply
    286.22x = 428.86 × 275.56
  4. Step 4: Simplify right side
    286.22x = 118,175.82
  5. Step 5: Solve for x
    x = 118,175.82/286.22
  6. Step 6: Final answer
    x = 412.88

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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.