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Finding the Fourth Proportional to 491.97, 678.88 and 282.08

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Solution

The fourth proportional to 491.97, 678.88 and 282.08 is: 389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.97 : 678.88 = 282.08 : x
  2. Step 2: Convert to fraction form
    491.97/678.88 = 282.08/x
  3. Step 3: Cross multiply
    491.97x = 678.88 × 282.08
  4. Step 4: Simplify right side
    491.97x = 191,500.52
  5. Step 5: Solve for x
    x = 191,500.52/491.97
  6. Step 6: Final answer
    x = 389.25

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