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Finding the Fourth Proportional to 565.83, 780.61 and 344.70

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Solution

The fourth proportional to 565.83, 780.61 and 344.70 is: 475.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.83 : 780.61 = 344.70 : x
  2. Step 2: Convert to fraction form
    565.83/780.61 = 344.70/x
  3. Step 3: Cross multiply
    565.83x = 780.61 × 344.70
  4. Step 4: Simplify right side
    565.83x = 269,077.02
  5. Step 5: Solve for x
    x = 269,077.02/565.83
  6. Step 6: Final answer
    x = 475.54

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