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Finding the Fourth Proportional to 493.02, 680.45 and 296.51

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Solution

The fourth proportional to 493.02, 680.45 and 296.51 is: 409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.02 : 680.45 = 296.51 : x
  2. Step 2: Convert to fraction form
    493.02/680.45 = 296.51/x
  3. Step 3: Cross multiply
    493.02x = 680.45 × 296.51
  4. Step 4: Simplify right side
    493.02x = 201,755.34
  5. Step 5: Solve for x
    x = 201,755.34/493.02
  6. Step 6: Final answer
    x = 409.22

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