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Finding the Fourth Proportional to 531.82, 797.84 and 257.76

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Solution

The fourth proportional to 531.82, 797.84 and 257.76 is: 386.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.82 : 797.84 = 257.76 : x
  2. Step 2: Convert to fraction form
    531.82/797.84 = 257.76/x
  3. Step 3: Cross multiply
    531.82x = 797.84 × 257.76
  4. Step 4: Simplify right side
    531.82x = 205,650.92
  5. Step 5: Solve for x
    x = 205,650.92/531.82
  6. Step 6: Final answer
    x = 386.69

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