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Finding the Fourth Proportional to 467.78, 645.54 and 257.96

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Solution

The fourth proportional to 467.78, 645.54 and 257.96 is: 355.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.78 : 645.54 = 257.96 : x
  2. Step 2: Convert to fraction form
    467.78/645.54 = 257.96/x
  3. Step 3: Cross multiply
    467.78x = 645.54 × 257.96
  4. Step 4: Simplify right side
    467.78x = 166,523.50
  5. Step 5: Solve for x
    x = 166,523.50/467.78
  6. Step 6: Final answer
    x = 355.99

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