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Finding the Fourth Proportional to 565.14, 847.73 and 256.92

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Solution

The fourth proportional to 565.14, 847.73 and 256.92 is: 385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.14 : 847.73 = 256.92 : x
  2. Step 2: Convert to fraction form
    565.14/847.73 = 256.92/x
  3. Step 3: Cross multiply
    565.14x = 847.73 × 256.92
  4. Step 4: Simplify right side
    565.14x = 217,798.79
  5. Step 5: Solve for x
    x = 217,798.79/565.14
  6. Step 6: Final answer
    x = 385.39

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