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Finding the Fourth Proportional to 650.73, 976.20 and 285.83

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Solution

The fourth proportional to 650.73, 976.20 and 285.83 is: 428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.73 : 976.20 = 285.83 : x
  2. Step 2: Convert to fraction form
    650.73/976.20 = 285.83/x
  3. Step 3: Cross multiply
    650.73x = 976.20 × 285.83
  4. Step 4: Simplify right side
    650.73x = 279,027.25
  5. Step 5: Solve for x
    x = 279,027.25/650.73
  6. Step 6: Final answer
    x = 428.79

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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.