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Finding the Fourth Proportional to 309.21, 463.97 and 193.63

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Solution

The fourth proportional to 309.21, 463.97 and 193.63 is: 290.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.21 : 463.97 = 193.63 : x
  2. Step 2: Convert to fraction form
    309.21/463.97 = 193.63/x
  3. Step 3: Cross multiply
    309.21x = 463.97 × 193.63
  4. Step 4: Simplify right side
    309.21x = 89,838.51
  5. Step 5: Solve for x
    x = 89,838.51/309.21
  6. Step 6: Final answer
    x = 290.54

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