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Finding the Fourth Proportional to 455.52, 684.24 and 400.96

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Solution

The fourth proportional to 455.52, 684.24 and 400.96 is: 602.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.52 : 684.24 = 400.96 : x
  2. Step 2: Convert to fraction form
    455.52/684.24 = 400.96/x
  3. Step 3: Cross multiply
    455.52x = 684.24 × 400.96
  4. Step 4: Simplify right side
    455.52x = 274,352.87
  5. Step 5: Solve for x
    x = 274,352.87/455.52
  6. Step 6: Final answer
    x = 602.29

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