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Finding the Fourth Proportional to 509.65, 764.37 and 184.91

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Solution

The fourth proportional to 509.65, 764.37 and 184.91 is: 277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.65 : 764.37 = 184.91 : x
  2. Step 2: Convert to fraction form
    509.65/764.37 = 184.91/x
  3. Step 3: Cross multiply
    509.65x = 764.37 × 184.91
  4. Step 4: Simplify right side
    509.65x = 141,335.83
  5. Step 5: Solve for x
    x = 141,335.83/509.65
  6. Step 6: Final answer
    x = 277.32

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