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Finding the Fourth Proportional to 457.63, 684.61 and 405.68

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Solution

The fourth proportional to 457.63, 684.61 and 405.68 is: 606.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.63 : 684.61 = 405.68 : x
  2. Step 2: Convert to fraction form
    457.63/684.61 = 405.68/x
  3. Step 3: Cross multiply
    457.63x = 684.61 × 405.68
  4. Step 4: Simplify right side
    457.63x = 277,732.58
  5. Step 5: Solve for x
    x = 277,732.58/457.63
  6. Step 6: Final answer
    x = 606.89

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