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Finding the Fourth Proportional to 456.92, 630.49 and 257.76

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Solution

The fourth proportional to 456.92, 630.49 and 257.76 is: 355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.92 : 630.49 = 257.76 : x
  2. Step 2: Convert to fraction form
    456.92/630.49 = 257.76/x
  3. Step 3: Cross multiply
    456.92x = 630.49 × 257.76
  4. Step 4: Simplify right side
    456.92x = 162,516.68
  5. Step 5: Solve for x
    x = 162,516.68/456.92
  6. Step 6: Final answer
    x = 355.68

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