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Finding the Fourth Proportional to 565.92, 849.12 and 277.68

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Solution

The fourth proportional to 565.92, 849.12 and 277.68 is: 416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.92 : 849.12 = 277.68 : x
  2. Step 2: Convert to fraction form
    565.92/849.12 = 277.68/x
  3. Step 3: Cross multiply
    565.92x = 849.12 × 277.68
  4. Step 4: Simplify right side
    565.92x = 235,783.64
  5. Step 5: Solve for x
    x = 235,783.64/565.92
  6. Step 6: Final answer
    x = 416.64

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