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Finding the Fourth Proportional to 668.70, 1,003.05 and 380.22

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Solution

The fourth proportional to 668.70, 1,003.05 and 380.22 is: 570.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.70 : 1,003.05 = 380.22 : x
  2. Step 2: Convert to fraction form
    668.70/1,003.05 = 380.22/x
  3. Step 3: Cross multiply
    668.70x = 1,003.05 × 380.22
  4. Step 4: Simplify right side
    668.70x = 381,379.67
  5. Step 5: Solve for x
    x = 381,379.67/668.70
  6. Step 6: Final answer
    x = 570.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.