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Finding the Fourth Proportional to 524.91, 786.96 and 281.64

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Solution

The fourth proportional to 524.91, 786.96 and 281.64 is: 422.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.91 : 786.96 = 281.64 : x
  2. Step 2: Convert to fraction form
    524.91/786.96 = 281.64/x
  3. Step 3: Cross multiply
    524.91x = 786.96 × 281.64
  4. Step 4: Simplify right side
    524.91x = 221,639.41
  5. Step 5: Solve for x
    x = 221,639.41/524.91
  6. Step 6: Final answer
    x = 422.24

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