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Finding the Fourth Proportional to 598, 897.38 and 256

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Solution

The fourth proportional to 598, 897.38 and 256 is: 384.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    598 : 897.38 = 256 : x
  2. Step 2: Convert to fraction form
    598/897.38 = 256/x
  3. Step 3: Cross multiply
    598x = 897.38 × 256
  4. Step 4: Simplify right side
    598x = 229,729.28
  5. Step 5: Solve for x
    x = 229,729.28/598
  6. Step 6: Final answer
    x = 384.16

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