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Finding the Fourth Proportional to 402.59, 604.90 and 256.40

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Solution

The fourth proportional to 402.59, 604.90 and 256.40 is: 385.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.59 : 604.90 = 256.40 : x
  2. Step 2: Convert to fraction form
    402.59/604.90 = 256.40/x
  3. Step 3: Cross multiply
    402.59x = 604.90 × 256.40
  4. Step 4: Simplify right side
    402.59x = 155,099.33
  5. Step 5: Solve for x
    x = 155,099.33/402.59
  6. Step 6: Final answer
    x = 385.25

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