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Finding the Fourth Proportional to 509.54, 764.31 and 184.94

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Solution

The fourth proportional to 509.54, 764.31 and 184.94 is: 277.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.54 : 764.31 = 184.94 : x
  2. Step 2: Convert to fraction form
    509.54/764.31 = 184.94/x
  3. Step 3: Cross multiply
    509.54x = 764.31 × 184.94
  4. Step 4: Simplify right side
    509.54x = 141,347.67
  5. Step 5: Solve for x
    x = 141,347.67/509.54
  6. Step 6: Final answer
    x = 277.41

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