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Finding the Fourth Proportional to 523.92, 785.40 and 266.64

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Solution

The fourth proportional to 523.92, 785.40 and 266.64 is: 399.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.92 : 785.40 = 266.64 : x
  2. Step 2: Convert to fraction form
    523.92/785.40 = 266.64/x
  3. Step 3: Cross multiply
    523.92x = 785.40 × 266.64
  4. Step 4: Simplify right side
    523.92x = 209,419.06
  5. Step 5: Solve for x
    x = 209,419.06/523.92
  6. Step 6: Final answer
    x = 399.72

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