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Finding the Fourth Proportional to 309.92, 427.75 and 280.08

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Solution

The fourth proportional to 309.92, 427.75 and 280.08 is: 386.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.92 : 427.75 = 280.08 : x
  2. Step 2: Convert to fraction form
    309.92/427.75 = 280.08/x
  3. Step 3: Cross multiply
    309.92x = 427.75 × 280.08
  4. Step 4: Simplify right side
    309.92x = 119,803.52
  5. Step 5: Solve for x
    x = 119,803.52/309.92
  6. Step 6: Final answer
    x = 386.57

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