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Finding the Fourth Proportional to 649.73, 974.28 and 284.37

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Solution

The fourth proportional to 649.73, 974.28 and 284.37 is: 426.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.73 : 974.28 = 284.37 : x
  2. Step 2: Convert to fraction form
    649.73/974.28 = 284.37/x
  3. Step 3: Cross multiply
    649.73x = 974.28 × 284.37
  4. Step 4: Simplify right side
    649.73x = 277,056.00
  5. Step 5: Solve for x
    x = 277,056.00/649.73
  6. Step 6: Final answer
    x = 426.42

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