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Finding the Fourth Proportional to 575.16, 862.84 and 209.84

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Solution

The fourth proportional to 575.16, 862.84 and 209.84 is: 314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.16 : 862.84 = 209.84 : x
  2. Step 2: Convert to fraction form
    575.16/862.84 = 209.84/x
  3. Step 3: Cross multiply
    575.16x = 862.84 × 209.84
  4. Step 4: Simplify right side
    575.16x = 181,058.35
  5. Step 5: Solve for x
    x = 181,058.35/575.16
  6. Step 6: Final answer
    x = 314.80

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