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Finding the Fourth Proportional to 873.12, 1,309.41 and 288

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Solution

The fourth proportional to 873.12, 1,309.41 and 288 is: 431.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.12 : 1,309.41 = 288 : x
  2. Step 2: Convert to fraction form
    873.12/1,309.41 = 288/x
  3. Step 3: Cross multiply
    873.12x = 1,309.41 × 288
  4. Step 4: Simplify right side
    873.12x = 377,110.08
  5. Step 5: Solve for x
    x = 377,110.08/873.12
  6. Step 6: Final answer
    x = 431.91

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