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Finding the Fourth Proportional to 383.06, 574.80 and 209.72

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Solution

The fourth proportional to 383.06, 574.80 and 209.72 is: 314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.06 : 574.80 = 209.72 : x
  2. Step 2: Convert to fraction form
    383.06/574.80 = 209.72/x
  3. Step 3: Cross multiply
    383.06x = 574.80 × 209.72
  4. Step 4: Simplify right side
    383.06x = 120,547.06
  5. Step 5: Solve for x
    x = 120,547.06/383.06
  6. Step 6: Final answer
    x = 314.69

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