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Finding the Fourth Proportional to 569.12, 854 and 280.80

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Solution

The fourth proportional to 569.12, 854 and 280.80 is: 421.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.12 : 854 = 280.80 : x
  2. Step 2: Convert to fraction form
    569.12/854 = 280.80/x
  3. Step 3: Cross multiply
    569.12x = 854 × 280.80
  4. Step 4: Simplify right side
    569.12x = 239,803.20
  5. Step 5: Solve for x
    x = 239,803.20/569.12
  6. Step 6: Final answer
    x = 421.36

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