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Finding the Fourth Proportional to 378.24, 566.69 and 286.98

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Solution

The fourth proportional to 378.24, 566.69 and 286.98 is: 429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.24 : 566.69 = 286.98 : x
  2. Step 2: Convert to fraction form
    378.24/566.69 = 286.98/x
  3. Step 3: Cross multiply
    378.24x = 566.69 × 286.98
  4. Step 4: Simplify right side
    378.24x = 162,627.26
  5. Step 5: Solve for x
    x = 162,627.26/378.24
  6. Step 6: Final answer
    x = 429.96

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