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Finding the Fourth Proportional to 412.92, 617.94 and 256.68

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Solution

The fourth proportional to 412.92, 617.94 and 256.68 is: 384.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.92 : 617.94 = 256.68 : x
  2. Step 2: Convert to fraction form
    412.92/617.94 = 256.68/x
  3. Step 3: Cross multiply
    412.92x = 617.94 × 256.68
  4. Step 4: Simplify right side
    412.92x = 158,612.84
  5. Step 5: Solve for x
    x = 158,612.84/412.92
  6. Step 6: Final answer
    x = 384.12

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