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Finding the Fourth Proportional to 509.56, 768 and 481.30

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Solution

The fourth proportional to 509.56, 768 and 481.30 is: 725.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.56 : 768 = 481.30 : x
  2. Step 2: Convert to fraction form
    509.56/768 = 481.30/x
  3. Step 3: Cross multiply
    509.56x = 768 × 481.30
  4. Step 4: Simplify right side
    509.56x = 369,638.40
  5. Step 5: Solve for x
    x = 369,638.40/509.56
  6. Step 6: Final answer
    x = 725.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.