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Finding the Fourth Proportional to 537.74, 805.32 and 293.66

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Solution

The fourth proportional to 537.74, 805.32 and 293.66 is: 439.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.74 : 805.32 = 293.66 : x
  2. Step 2: Convert to fraction form
    537.74/805.32 = 293.66/x
  3. Step 3: Cross multiply
    537.74x = 805.32 × 293.66
  4. Step 4: Simplify right side
    537.74x = 236,490.27
  5. Step 5: Solve for x
    x = 236,490.27/537.74
  6. Step 6: Final answer
    x = 439.79

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