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Finding the Fourth Proportional to 431.44, 647.70 and 286.16

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Solution

The fourth proportional to 431.44, 647.70 and 286.16 is: 429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.44 : 647.70 = 286.16 : x
  2. Step 2: Convert to fraction form
    431.44/647.70 = 286.16/x
  3. Step 3: Cross multiply
    431.44x = 647.70 × 286.16
  4. Step 4: Simplify right side
    431.44x = 185,345.83
  5. Step 5: Solve for x
    x = 185,345.83/431.44
  6. Step 6: Final answer
    x = 429.60

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