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Finding the Fourth Proportional to 488.14, 732.41 and 256.97

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Solution

The fourth proportional to 488.14, 732.41 and 256.97 is: 385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.14 : 732.41 = 256.97 : x
  2. Step 2: Convert to fraction form
    488.14/732.41 = 256.97/x
  3. Step 3: Cross multiply
    488.14x = 732.41 × 256.97
  4. Step 4: Simplify right side
    488.14x = 188,209.87
  5. Step 5: Solve for x
    x = 188,209.87/488.14
  6. Step 6: Final answer
    x = 385.57

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