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Finding the Fourth Proportional to 649.50, 896.37 and 416.82

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Solution

The fourth proportional to 649.50, 896.37 and 416.82 is: 575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.50 : 896.37 = 416.82 : x
  2. Step 2: Convert to fraction form
    649.50/896.37 = 416.82/x
  3. Step 3: Cross multiply
    649.50x = 896.37 × 416.82
  4. Step 4: Simplify right side
    649.50x = 373,624.94
  5. Step 5: Solve for x
    x = 373,624.94/649.50
  6. Step 6: Final answer
    x = 575.25

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