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Finding the Fourth Proportional to 509.07, 763.76 and 184.44

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Solution

The fourth proportional to 509.07, 763.76 and 184.44 is: 276.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.07 : 763.76 = 184.44 : x
  2. Step 2: Convert to fraction form
    509.07/763.76 = 184.44/x
  3. Step 3: Cross multiply
    509.07x = 763.76 × 184.44
  4. Step 4: Simplify right side
    509.07x = 140,867.89
  5. Step 5: Solve for x
    x = 140,867.89/509.07
  6. Step 6: Final answer
    x = 276.72

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