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Finding the Fourth Proportional to 378.80, 567.39 and 305.90

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Solution

The fourth proportional to 378.80, 567.39 and 305.90 is: 458.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.80 : 567.39 = 305.90 : x
  2. Step 2: Convert to fraction form
    378.80/567.39 = 305.90/x
  3. Step 3: Cross multiply
    378.80x = 567.39 × 305.90
  4. Step 4: Simplify right side
    378.80x = 173,564.60
  5. Step 5: Solve for x
    x = 173,564.60/378.80
  6. Step 6: Final answer
    x = 458.20

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