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Finding the Fourth Proportional to 653.23, 980.42 and 306.75

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Solution

The fourth proportional to 653.23, 980.42 and 306.75 is: 460.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.23 : 980.42 = 306.75 : x
  2. Step 2: Convert to fraction form
    653.23/980.42 = 306.75/x
  3. Step 3: Cross multiply
    653.23x = 980.42 × 306.75
  4. Step 4: Simplify right side
    653.23x = 300,743.84
  5. Step 5: Solve for x
    x = 300,743.84/653.23
  6. Step 6: Final answer
    x = 460.40

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