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Finding the Fourth Proportional to 491.54, 678.20 and 294.98

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Solution

The fourth proportional to 491.54, 678.20 and 294.98 is: 406.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.54 : 678.20 = 294.98 : x
  2. Step 2: Convert to fraction form
    491.54/678.20 = 294.98/x
  3. Step 3: Cross multiply
    491.54x = 678.20 × 294.98
  4. Step 4: Simplify right side
    491.54x = 200,050.57
  5. Step 5: Solve for x
    x = 200,050.57/491.54
  6. Step 6: Final answer
    x = 406.99

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