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Finding the Fourth Proportional to 707.94, 976.97 and 413.42

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Solution

The fourth proportional to 707.94, 976.97 and 413.42 is: 570.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.94 : 976.97 = 413.42 : x
  2. Step 2: Convert to fraction form
    707.94/976.97 = 413.42/x
  3. Step 3: Cross multiply
    707.94x = 976.97 × 413.42
  4. Step 4: Simplify right side
    707.94x = 403,898.94
  5. Step 5: Solve for x
    x = 403,898.94/707.94
  6. Step 6: Final answer
    x = 570.53

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