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Finding the Fourth Proportional to 647.67, 971.52 and 257.74

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Solution

The fourth proportional to 647.67, 971.52 and 257.74 is: 386.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.67 : 971.52 = 257.74 : x
  2. Step 2: Convert to fraction form
    647.67/971.52 = 257.74/x
  3. Step 3: Cross multiply
    647.67x = 971.52 × 257.74
  4. Step 4: Simplify right side
    647.67x = 250,399.56
  5. Step 5: Solve for x
    x = 250,399.56/647.67
  6. Step 6: Final answer
    x = 386.62

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