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Finding the Fourth Proportional to 531.12, 796.48 and 257

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Solution

The fourth proportional to 531.12, 796.48 and 257 is: 385.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.12 : 796.48 = 257 : x
  2. Step 2: Convert to fraction form
    531.12/796.48 = 257/x
  3. Step 3: Cross multiply
    531.12x = 796.48 × 257
  4. Step 4: Simplify right side
    531.12x = 204,695.36
  5. Step 5: Solve for x
    x = 204,695.36/531.12
  6. Step 6: Final answer
    x = 385.40

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