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Finding the Fourth Proportional to 286.56, 429.30 and 286.20

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Solution

The fourth proportional to 286.56, 429.30 and 286.20 is: 428.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.56 : 429.30 = 286.20 : x
  2. Step 2: Convert to fraction form
    286.56/429.30 = 286.20/x
  3. Step 3: Cross multiply
    286.56x = 429.30 × 286.20
  4. Step 4: Simplify right side
    286.56x = 122,865.66
  5. Step 5: Solve for x
    x = 122,865.66/286.56
  6. Step 6: Final answer
    x = 428.76

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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.