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Finding the Fourth Proportional to 282.80, 423.96 and 258.80

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Solution

The fourth proportional to 282.80, 423.96 and 258.80 is: 387.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.80 : 423.96 = 258.80 : x
  2. Step 2: Convert to fraction form
    282.80/423.96 = 258.80/x
  3. Step 3: Cross multiply
    282.80x = 423.96 × 258.80
  4. Step 4: Simplify right side
    282.80x = 109,720.85
  5. Step 5: Solve for x
    x = 109,720.85/282.80
  6. Step 6: Final answer
    x = 387.98

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