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Finding the Fourth Proportional to 564.72, 846.94 and 153.85

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Solution

The fourth proportional to 564.72, 846.94 and 153.85 is: 230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.72 : 846.94 = 153.85 : x
  2. Step 2: Convert to fraction form
    564.72/846.94 = 153.85/x
  3. Step 3: Cross multiply
    564.72x = 846.94 × 153.85
  4. Step 4: Simplify right side
    564.72x = 130,300.95
  5. Step 5: Solve for x
    x = 130,300.95/564.72
  6. Step 6: Final answer
    x = 230.74

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