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Finding the Fourth Proportional to 531.92, 797.48 and 257.78

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Solution

The fourth proportional to 531.92, 797.48 and 257.78 is: 386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.92 : 797.48 = 257.78 : x
  2. Step 2: Convert to fraction form
    531.92/797.48 = 257.78/x
  3. Step 3: Cross multiply
    531.92x = 797.48 × 257.78
  4. Step 4: Simplify right side
    531.92x = 205,574.39
  5. Step 5: Solve for x
    x = 205,574.39/531.92
  6. Step 6: Final answer
    x = 386.48

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