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Finding the Fourth Proportional to 380.04, 569.84 and 206.74

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Solution

The fourth proportional to 380.04, 569.84 and 206.74 is: 309.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.04 : 569.84 = 206.74 : x
  2. Step 2: Convert to fraction form
    380.04/569.84 = 206.74/x
  3. Step 3: Cross multiply
    380.04x = 569.84 × 206.74
  4. Step 4: Simplify right side
    380.04x = 117,808.72
  5. Step 5: Solve for x
    x = 117,808.72/380.04
  6. Step 6: Final answer
    x = 309.99

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