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Finding the Fourth Proportional to 463.29, 695.36 and 257.56

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Solution

The fourth proportional to 463.29, 695.36 and 257.56 is: 386.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.29 : 695.36 = 257.56 : x
  2. Step 2: Convert to fraction form
    463.29/695.36 = 257.56/x
  3. Step 3: Cross multiply
    463.29x = 695.36 × 257.56
  4. Step 4: Simplify right side
    463.29x = 179,096.92
  5. Step 5: Solve for x
    x = 179,096.92/463.29
  6. Step 6: Final answer
    x = 386.58

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