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Finding the Fourth Proportional to 380.12, 569.57 and 366.35

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Solution

The fourth proportional to 380.12, 569.57 and 366.35 is: 548.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.12 : 569.57 = 366.35 : x
  2. Step 2: Convert to fraction form
    380.12/569.57 = 366.35/x
  3. Step 3: Cross multiply
    380.12x = 569.57 × 366.35
  4. Step 4: Simplify right side
    380.12x = 208,657.29
  5. Step 5: Solve for x
    x = 208,657.29/380.12
  6. Step 6: Final answer
    x = 548.93

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