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Finding the Fourth Proportional to 286.00, 428.83 and 170.28

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Solution

The fourth proportional to 286.00, 428.83 and 170.28 is: 255.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.00 : 428.83 = 170.28 : x
  2. Step 2: Convert to fraction form
    286.00/428.83 = 170.28/x
  3. Step 3: Cross multiply
    286.00x = 428.83 × 170.28
  4. Step 4: Simplify right side
    286.00x = 73,020.75
  5. Step 5: Solve for x
    x = 73,020.75/286.00
  6. Step 6: Final answer
    x = 255.32

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Why These Related Problems?

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