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Finding the Fourth Proportional to 564.93, 779.76 and 344.07

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Solution

The fourth proportional to 564.93, 779.76 and 344.07 is: 474.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.93 : 779.76 = 344.07 : x
  2. Step 2: Convert to fraction form
    564.93/779.76 = 344.07/x
  3. Step 3: Cross multiply
    564.93x = 779.76 × 344.07
  4. Step 4: Simplify right side
    564.93x = 268,292.02
  5. Step 5: Solve for x
    x = 268,292.02/564.93
  6. Step 6: Final answer
    x = 474.91

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