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Finding the Fourth Proportional to 596.21, 893.57 and 413.55

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Solution

The fourth proportional to 596.21, 893.57 and 413.55 is: 619.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.21 : 893.57 = 413.55 : x
  2. Step 2: Convert to fraction form
    596.21/893.57 = 413.55/x
  3. Step 3: Cross multiply
    596.21x = 893.57 × 413.55
  4. Step 4: Simplify right side
    596.21x = 369,533.81
  5. Step 5: Solve for x
    x = 369,533.81/596.21
  6. Step 6: Final answer
    x = 619.81

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