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Finding the Fourth Proportional to 649.56, 896.94 and 463.62

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Solution

The fourth proportional to 649.56, 896.94 and 463.62 is: 640.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.56 : 896.94 = 463.62 : x
  2. Step 2: Convert to fraction form
    649.56/896.94 = 463.62/x
  3. Step 3: Cross multiply
    649.56x = 896.94 × 463.62
  4. Step 4: Simplify right side
    649.56x = 415,839.32
  5. Step 5: Solve for x
    x = 415,839.32/649.56
  6. Step 6: Final answer
    x = 640.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.