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Finding the Fourth Proportional to 649.41, 974.10 and 284.21

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Solution

The fourth proportional to 649.41, 974.10 and 284.21 is: 426.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.41 : 974.10 = 284.21 : x
  2. Step 2: Convert to fraction form
    649.41/974.10 = 284.21/x
  3. Step 3: Cross multiply
    649.41x = 974.10 × 284.21
  4. Step 4: Simplify right side
    649.41x = 276,844.09
  5. Step 5: Solve for x
    x = 276,844.09/649.41
  6. Step 6: Final answer
    x = 426.30

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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.