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Finding the Fourth Proportional to 651.28, 976.38 and 285.96

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Solution

The fourth proportional to 651.28, 976.38 and 285.96 is: 428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.28 : 976.38 = 285.96 : x
  2. Step 2: Convert to fraction form
    651.28/976.38 = 285.96/x
  3. Step 3: Cross multiply
    651.28x = 976.38 × 285.96
  4. Step 4: Simplify right side
    651.28x = 279,205.62
  5. Step 5: Solve for x
    x = 279,205.62/651.28
  6. Step 6: Final answer
    x = 428.70

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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.