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Finding the Fourth Proportional to 469.94, 704.85 and 161.78

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Solution

The fourth proportional to 469.94, 704.85 and 161.78 is: 242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.94 : 704.85 = 161.78 : x
  2. Step 2: Convert to fraction form
    469.94/704.85 = 161.78/x
  3. Step 3: Cross multiply
    469.94x = 704.85 × 161.78
  4. Step 4: Simplify right side
    469.94x = 114,027.11
  5. Step 5: Solve for x
    x = 114,027.11/469.94
  6. Step 6: Final answer
    x = 242.64

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