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Finding the Fourth Proportional to 509.08, 763.26 and 326.20

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Solution

The fourth proportional to 509.08, 763.26 and 326.20 is: 489.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.08 : 763.26 = 326.20 : x
  2. Step 2: Convert to fraction form
    509.08/763.26 = 326.20/x
  3. Step 3: Cross multiply
    509.08x = 763.26 × 326.20
  4. Step 4: Simplify right side
    509.08x = 248,975.41
  5. Step 5: Solve for x
    x = 248,975.41/509.08
  6. Step 6: Final answer
    x = 489.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.