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Finding the Fourth Proportional to 537.96, 805.57 and 375.75

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Solution

The fourth proportional to 537.96, 805.57 and 375.75 is: 562.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.96 : 805.57 = 375.75 : x
  2. Step 2: Convert to fraction form
    537.96/805.57 = 375.75/x
  3. Step 3: Cross multiply
    537.96x = 805.57 × 375.75
  4. Step 4: Simplify right side
    537.96x = 302,695.01
  5. Step 5: Solve for x
    x = 302,695.01/537.96
  6. Step 6: Final answer
    x = 562.68

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