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Finding the Fourth Proportional to 769.23, 1,153.43 and 335.88

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Solution

The fourth proportional to 769.23, 1,153.43 and 335.88 is: 503.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.23 : 1,153.43 = 335.88 : x
  2. Step 2: Convert to fraction form
    769.23/1,153.43 = 335.88/x
  3. Step 3: Cross multiply
    769.23x = 1,153.43 × 335.88
  4. Step 4: Simplify right side
    769.23x = 387,408.30
  5. Step 5: Solve for x
    x = 387,408.30/769.23
  6. Step 6: Final answer
    x = 503.63

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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.