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Finding the Fourth Proportional to 557.82, 769.33 and 336.73

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Solution

The fourth proportional to 557.82, 769.33 and 336.73 is: 464.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.82 : 769.33 = 336.73 : x
  2. Step 2: Convert to fraction form
    557.82/769.33 = 336.73/x
  3. Step 3: Cross multiply
    557.82x = 769.33 × 336.73
  4. Step 4: Simplify right side
    557.82x = 259,056.49
  5. Step 5: Solve for x
    x = 259,056.49/557.82
  6. Step 6: Final answer
    x = 464.41

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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.