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Finding the Fourth Proportional to 577.55, 864.26 and 538.93

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Solution

The fourth proportional to 577.55, 864.26 and 538.93 is: 806.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.55 : 864.26 = 538.93 : x
  2. Step 2: Convert to fraction form
    577.55/864.26 = 538.93/x
  3. Step 3: Cross multiply
    577.55x = 864.26 × 538.93
  4. Step 4: Simplify right side
    577.55x = 465,775.64
  5. Step 5: Solve for x
    x = 465,775.64/577.55
  6. Step 6: Final answer
    x = 806.47

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