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Finding the Fourth Proportional to 598.08, 897.12 and 256

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Solution

The fourth proportional to 598.08, 897.12 and 256 is: 384

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.08 : 897.12 = 256 : x
  2. Step 2: Convert to fraction form
    598.08/897.12 = 256/x
  3. Step 3: Cross multiply
    598.08x = 897.12 × 256
  4. Step 4: Simplify right side
    598.08x = 229,662.72
  5. Step 5: Solve for x
    x = 229,662.72/598.08
  6. Step 6: Final answer
    x = 384

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