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Finding the Fourth Proportional to 378.74, 567.84 and 305.71

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Solution

The fourth proportional to 378.74, 567.84 and 305.71 is: 458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.74 : 567.84 = 305.71 : x
  2. Step 2: Convert to fraction form
    378.74/567.84 = 305.71/x
  3. Step 3: Cross multiply
    378.74x = 567.84 × 305.71
  4. Step 4: Simplify right side
    378.74x = 173,594.09
  5. Step 5: Solve for x
    x = 173,594.09/378.74
  6. Step 6: Final answer
    x = 458.34

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