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Finding the Fourth Proportional to 653.83, 980.75 and 288.53

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Solution

The fourth proportional to 653.83, 980.75 and 288.53 is: 432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.83 : 980.75 = 288.53 : x
  2. Step 2: Convert to fraction form
    653.83/980.75 = 288.53/x
  3. Step 3: Cross multiply
    653.83x = 980.75 × 288.53
  4. Step 4: Simplify right side
    653.83x = 282,975.80
  5. Step 5: Solve for x
    x = 282,975.80/653.83
  6. Step 6: Final answer
    x = 432.80

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