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Finding the Fourth Proportional to 653.52, 979.80 and 288

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Solution

The fourth proportional to 653.52, 979.80 and 288 is: 431.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.52 : 979.80 = 288 : x
  2. Step 2: Convert to fraction form
    653.52/979.80 = 288/x
  3. Step 3: Cross multiply
    653.52x = 979.80 × 288
  4. Step 4: Simplify right side
    653.52x = 282,182.40
  5. Step 5: Solve for x
    x = 282,182.40/653.52
  6. Step 6: Final answer
    x = 431.79

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