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Finding the Fourth Proportional to 355.78, 491.43 and 257.91

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Solution

The fourth proportional to 355.78, 491.43 and 257.91 is: 356.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.78 : 491.43 = 257.91 : x
  2. Step 2: Convert to fraction form
    355.78/491.43 = 257.91/x
  3. Step 3: Cross multiply
    355.78x = 491.43 × 257.91
  4. Step 4: Simplify right side
    355.78x = 126,744.71
  5. Step 5: Solve for x
    x = 126,744.71/355.78
  6. Step 6: Final answer
    x = 356.24

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