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Finding the Fourth Proportional to 533.76, 800.64 and 341.52

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Solution

The fourth proportional to 533.76, 800.64 and 341.52 is: 512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.76 : 800.64 = 341.52 : x
  2. Step 2: Convert to fraction form
    533.76/800.64 = 341.52/x
  3. Step 3: Cross multiply
    533.76x = 800.64 × 341.52
  4. Step 4: Simplify right side
    533.76x = 273,434.57
  5. Step 5: Solve for x
    x = 273,434.57/533.76
  6. Step 6: Final answer
    x = 512.28

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