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Finding the Fourth Proportional to 509.61, 763.59 and 326.85

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Solution

The fourth proportional to 509.61, 763.59 and 326.85 is: 489.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.61 : 763.59 = 326.85 : x
  2. Step 2: Convert to fraction form
    509.61/763.59 = 326.85/x
  3. Step 3: Cross multiply
    509.61x = 763.59 × 326.85
  4. Step 4: Simplify right side
    509.61x = 249,579.39
  5. Step 5: Solve for x
    x = 249,579.39/509.61
  6. Step 6: Final answer
    x = 489.75

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