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Finding the Fourth Proportional to 511.81, 706.30 and 278.94

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Solution

The fourth proportional to 511.81, 706.30 and 278.94 is: 384.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.81 : 706.30 = 278.94 : x
  2. Step 2: Convert to fraction form
    511.81/706.30 = 278.94/x
  3. Step 3: Cross multiply
    511.81x = 706.30 × 278.94
  4. Step 4: Simplify right side
    511.81x = 197,015.32
  5. Step 5: Solve for x
    x = 197,015.32/511.81
  6. Step 6: Final answer
    x = 384.94

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