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Finding the Fourth Proportional to 557.46, 769.31 and 336.44

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Solution

The fourth proportional to 557.46, 769.31 and 336.44 is: 464.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.46 : 769.31 = 336.44 : x
  2. Step 2: Convert to fraction form
    557.46/769.31 = 336.44/x
  3. Step 3: Cross multiply
    557.46x = 769.31 × 336.44
  4. Step 4: Simplify right side
    557.46x = 258,821.13
  5. Step 5: Solve for x
    x = 258,821.13/557.46
  6. Step 6: Final answer
    x = 464.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.