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Finding the Fourth Proportional to 583.14, 874.92 and 198.36

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Solution

The fourth proportional to 583.14, 874.92 and 198.36 is: 297.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.14 : 874.92 = 198.36 : x
  2. Step 2: Convert to fraction form
    583.14/874.92 = 198.36/x
  3. Step 3: Cross multiply
    583.14x = 874.92 × 198.36
  4. Step 4: Simplify right side
    583.14x = 173,549.13
  5. Step 5: Solve for x
    x = 173,549.13/583.14
  6. Step 6: Final answer
    x = 297.61

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