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Finding the Fourth Proportional to 538.56, 808.14 and 295.08

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Solution

The fourth proportional to 538.56, 808.14 and 295.08 is: 442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.56 : 808.14 = 295.08 : x
  2. Step 2: Convert to fraction form
    538.56/808.14 = 295.08/x
  3. Step 3: Cross multiply
    538.56x = 808.14 × 295.08
  4. Step 4: Simplify right side
    538.56x = 238,465.95
  5. Step 5: Solve for x
    x = 238,465.95/538.56
  6. Step 6: Final answer
    x = 442.78

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