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Finding the Fourth Proportional to 492, 678.96 and 295.56

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Solution

The fourth proportional to 492, 678.96 and 295.56 is: 407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    492 : 678.96 = 295.56 : x
  2. Step 2: Convert to fraction form
    492/678.96 = 295.56/x
  3. Step 3: Cross multiply
    492x = 678.96 × 295.56
  4. Step 4: Simplify right side
    492x = 200,673.42
  5. Step 5: Solve for x
    x = 200,673.42/492
  6. Step 6: Final answer
    x = 407.87

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