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Finding the Fourth Proportional to 509.36, 764.03 and 326.30

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Solution

The fourth proportional to 509.36, 764.03 and 326.30 is: 489.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.36 : 764.03 = 326.30 : x
  2. Step 2: Convert to fraction form
    509.36/764.03 = 326.30/x
  3. Step 3: Cross multiply
    509.36x = 764.03 × 326.30
  4. Step 4: Simplify right side
    509.36x = 249,299.98
  5. Step 5: Solve for x
    x = 249,299.98/509.36
  6. Step 6: Final answer
    x = 489.44

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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.