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Finding the Fourth Proportional to 653.47, 980.64 and 288.36

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Solution

The fourth proportional to 653.47, 980.64 and 288.36 is: 432.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.47 : 980.64 = 288.36 : x
  2. Step 2: Convert to fraction form
    653.47/980.64 = 288.36/x
  3. Step 3: Cross multiply
    653.47x = 980.64 × 288.36
  4. Step 4: Simplify right side
    653.47x = 282,777.35
  5. Step 5: Solve for x
    x = 282,777.35/653.47
  6. Step 6: Final answer
    x = 432.73

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