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Finding the Fourth Proportional to 523.04, 785.46 and 464.61

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Solution

The fourth proportional to 523.04, 785.46 and 464.61 is: 697.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.04 : 785.46 = 464.61 : x
  2. Step 2: Convert to fraction form
    523.04/785.46 = 464.61/x
  3. Step 3: Cross multiply
    523.04x = 785.46 × 464.61
  4. Step 4: Simplify right side
    523.04x = 364,932.57
  5. Step 5: Solve for x
    x = 364,932.57/523.04
  6. Step 6: Final answer
    x = 697.72

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