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Finding the Fourth Proportional to 509.77, 764.19 and 184.91

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Solution

The fourth proportional to 509.77, 764.19 and 184.91 is: 277.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.77 : 764.19 = 184.91 : x
  2. Step 2: Convert to fraction form
    509.77/764.19 = 184.91/x
  3. Step 3: Cross multiply
    509.77x = 764.19 × 184.91
  4. Step 4: Simplify right side
    509.77x = 141,303.74
  5. Step 5: Solve for x
    x = 141,303.74/509.77
  6. Step 6: Final answer
    x = 277.19

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