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Finding the Fourth Proportional to 524.36, 786 and 199.64

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Solution

The fourth proportional to 524.36, 786 and 199.64 is: 299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.36 : 786 = 199.64 : x
  2. Step 2: Convert to fraction form
    524.36/786 = 199.64/x
  3. Step 3: Cross multiply
    524.36x = 786 × 199.64
  4. Step 4: Simplify right side
    524.36x = 156,917.04
  5. Step 5: Solve for x
    x = 156,917.04/524.36
  6. Step 6: Final answer
    x = 299.25

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