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Finding the Fourth Proportional to 650.98, 976.38 and 285.67

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Solution

The fourth proportional to 650.98, 976.38 and 285.67 is: 428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.98 : 976.38 = 285.67 : x
  2. Step 2: Convert to fraction form
    650.98/976.38 = 285.67/x
  3. Step 3: Cross multiply
    650.98x = 976.38 × 285.67
  4. Step 4: Simplify right side
    650.98x = 278,922.47
  5. Step 5: Solve for x
    x = 278,922.47/650.98
  6. Step 6: Final answer
    x = 428.47

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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.