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Finding the Fourth Proportional to 413.02, 570.23 and 282.43

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Solution

The fourth proportional to 413.02, 570.23 and 282.43 is: 389.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.02 : 570.23 = 282.43 : x
  2. Step 2: Convert to fraction form
    413.02/570.23 = 282.43/x
  3. Step 3: Cross multiply
    413.02x = 570.23 × 282.43
  4. Step 4: Simplify right side
    413.02x = 161,050.06
  5. Step 5: Solve for x
    x = 161,050.06/413.02
  6. Step 6: Final answer
    x = 389.93

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