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Finding the Fourth Proportional to 430.94, 646.32 and 255.31

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Solution

The fourth proportional to 430.94, 646.32 and 255.31 is: 382.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.94 : 646.32 = 255.31 : x
  2. Step 2: Convert to fraction form
    430.94/646.32 = 255.31/x
  3. Step 3: Cross multiply
    430.94x = 646.32 × 255.31
  4. Step 4: Simplify right side
    430.94x = 165,008.73
  5. Step 5: Solve for x
    x = 165,008.73/430.94
  6. Step 6: Final answer
    x = 382.90

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