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Finding the Fourth Proportional to 395.94, 546.24 and 256.02

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Solution

The fourth proportional to 395.94, 546.24 and 256.02 is: 353.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.94 : 546.24 = 256.02 : x
  2. Step 2: Convert to fraction form
    395.94/546.24 = 256.02/x
  3. Step 3: Cross multiply
    395.94x = 546.24 × 256.02
  4. Step 4: Simplify right side
    395.94x = 139,848.36
  5. Step 5: Solve for x
    x = 139,848.36/395.94
  6. Step 6: Final answer
    x = 353.21

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