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Finding the Fourth Proportional to 464.16, 696.24 and 207.84

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Solution

The fourth proportional to 464.16, 696.24 and 207.84 is: 311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.16 : 696.24 = 207.84 : x
  2. Step 2: Convert to fraction form
    464.16/696.24 = 207.84/x
  3. Step 3: Cross multiply
    464.16x = 696.24 × 207.84
  4. Step 4: Simplify right side
    464.16x = 144,706.52
  5. Step 5: Solve for x
    x = 144,706.52/464.16
  6. Step 6: Final answer
    x = 311.76

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