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Finding the Fourth Proportional to 896.80, 1,345.60 and 312

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Solution

The fourth proportional to 896.80, 1,345.60 and 312 is: 468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.80 : 1,345.60 = 312 : x
  2. Step 2: Convert to fraction form
    896.80/1,345.60 = 312/x
  3. Step 3: Cross multiply
    896.80x = 1,345.60 × 312
  4. Step 4: Simplify right side
    896.80x = 419,827.20
  5. Step 5: Solve for x
    x = 419,827.20/896.80
  6. Step 6: Final answer
    x = 468.14

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