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Finding the Fourth Proportional to 389.81, 537.71 and 296.46

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Solution

The fourth proportional to 389.81, 537.71 and 296.46 is: 408.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.81 : 537.71 = 296.46 : x
  2. Step 2: Convert to fraction form
    389.81/537.71 = 296.46/x
  3. Step 3: Cross multiply
    389.81x = 537.71 × 296.46
  4. Step 4: Simplify right side
    389.81x = 159,408.02
  5. Step 5: Solve for x
    x = 159,408.02/389.81
  6. Step 6: Final answer
    x = 408.94

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