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Finding the Fourth Proportional to 556.70, 768.11 and 399.30

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Solution

The fourth proportional to 556.70, 768.11 and 399.30 is: 550.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.70 : 768.11 = 399.30 : x
  2. Step 2: Convert to fraction form
    556.70/768.11 = 399.30/x
  3. Step 3: Cross multiply
    556.70x = 768.11 × 399.30
  4. Step 4: Simplify right side
    556.70x = 306,704.33
  5. Step 5: Solve for x
    x = 306,704.33/556.70
  6. Step 6: Final answer
    x = 550.94

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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.