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Finding the Fourth Proportional to 565.85, 780.94 and 344.83

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Solution

The fourth proportional to 565.85, 780.94 and 344.83 is: 475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.85 : 780.94 = 344.83 : x
  2. Step 2: Convert to fraction form
    565.85/780.94 = 344.83/x
  3. Step 3: Cross multiply
    565.85x = 780.94 × 344.83
  4. Step 4: Simplify right side
    565.85x = 269,291.54
  5. Step 5: Solve for x
    x = 269,291.54/565.85
  6. Step 6: Final answer
    x = 475.91

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