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Finding the Fourth Proportional to 410.23, 614.94 and 193.84

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Solution

The fourth proportional to 410.23, 614.94 and 193.84 is: 290.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.23 : 614.94 = 193.84 : x
  2. Step 2: Convert to fraction form
    410.23/614.94 = 193.84/x
  3. Step 3: Cross multiply
    410.23x = 614.94 × 193.84
  4. Step 4: Simplify right side
    410.23x = 119,199.97
  5. Step 5: Solve for x
    x = 119,199.97/410.23
  6. Step 6: Final answer
    x = 290.57

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