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Finding the Fourth Proportional to 413.82, 570.11 and 340.56

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Solution

The fourth proportional to 413.82, 570.11 and 340.56 is: 469.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.82 : 570.11 = 340.56 : x
  2. Step 2: Convert to fraction form
    413.82/570.11 = 340.56/x
  3. Step 3: Cross multiply
    413.82x = 570.11 × 340.56
  4. Step 4: Simplify right side
    413.82x = 194,154.96
  5. Step 5: Solve for x
    x = 194,154.96/413.82
  6. Step 6: Final answer
    x = 469.18

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