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Finding the Fourth Proportional to 537.11, 805.76 and 382.65

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Solution

The fourth proportional to 537.11, 805.76 and 382.65 is: 574.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.11 : 805.76 = 382.65 : x
  2. Step 2: Convert to fraction form
    537.11/805.76 = 382.65/x
  3. Step 3: Cross multiply
    537.11x = 805.76 × 382.65
  4. Step 4: Simplify right side
    537.11x = 308,327.25
  5. Step 5: Solve for x
    x = 308,327.25/537.11
  6. Step 6: Final answer
    x = 574.05

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