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Finding the Fourth Proportional to 598.56, 897.92 and 208.64

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Solution

The fourth proportional to 598.56, 897.92 and 208.64 is: 312.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.56 : 897.92 = 208.64 : x
  2. Step 2: Convert to fraction form
    598.56/897.92 = 208.64/x
  3. Step 3: Cross multiply
    598.56x = 897.92 × 208.64
  4. Step 4: Simplify right side
    598.56x = 187,342.03
  5. Step 5: Solve for x
    x = 187,342.03/598.56
  6. Step 6: Final answer
    x = 312.99

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