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Finding the Fourth Proportional to 378.55, 567.43 and 256.83

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Solution

The fourth proportional to 378.55, 567.43 and 256.83 is: 384.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.55 : 567.43 = 256.83 : x
  2. Step 2: Convert to fraction form
    378.55/567.43 = 256.83/x
  3. Step 3: Cross multiply
    378.55x = 567.43 × 256.83
  4. Step 4: Simplify right side
    378.55x = 145,733.05
  5. Step 5: Solve for x
    x = 145,733.05/378.55
  6. Step 6: Final answer
    x = 384.98

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