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Finding the Fourth Proportional to 594.25, 820.47 and 361.78

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Solution

The fourth proportional to 594.25, 820.47 and 361.78 is: 499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.25 : 820.47 = 361.78 : x
  2. Step 2: Convert to fraction form
    594.25/820.47 = 361.78/x
  3. Step 3: Cross multiply
    594.25x = 820.47 × 361.78
  4. Step 4: Simplify right side
    594.25x = 296,829.64
  5. Step 5: Solve for x
    x = 296,829.64/594.25
  6. Step 6: Final answer
    x = 499.50

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