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Finding the Fourth Proportional to 523.06, 783.69 and 400.96

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Solution

The fourth proportional to 523.06, 783.69 and 400.96 is: 600.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.06 : 783.69 = 400.96 : x
  2. Step 2: Convert to fraction form
    523.06/783.69 = 400.96/x
  3. Step 3: Cross multiply
    523.06x = 783.69 × 400.96
  4. Step 4: Simplify right side
    523.06x = 314,228.34
  5. Step 5: Solve for x
    x = 314,228.34/523.06
  6. Step 6: Final answer
    x = 600.75

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