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Finding the Fourth Proportional to 653.97, 980.65 and 380.14

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Solution

The fourth proportional to 653.97, 980.65 and 380.14 is: 570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.97 : 980.65 = 380.14 : x
  2. Step 2: Convert to fraction form
    653.97/980.65 = 380.14/x
  3. Step 3: Cross multiply
    653.97x = 980.65 × 380.14
  4. Step 4: Simplify right side
    653.97x = 372,777.49
  5. Step 5: Solve for x
    x = 372,777.49/653.97
  6. Step 6: Final answer
    x = 570.02

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