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Finding the Fourth Proportional to 385.95, 578.40 and 255.75

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Solution

The fourth proportional to 385.95, 578.40 and 255.75 is: 383.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.95 : 578.40 = 255.75 : x
  2. Step 2: Convert to fraction form
    385.95/578.40 = 255.75/x
  3. Step 3: Cross multiply
    385.95x = 578.40 × 255.75
  4. Step 4: Simplify right side
    385.95x = 147,925.80
  5. Step 5: Solve for x
    x = 147,925.80/385.95
  6. Step 6: Final answer
    x = 383.28

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