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Finding the Fourth Proportional to 444.96, 668.39 and 380.03

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Solution

The fourth proportional to 444.96, 668.39 and 380.03 is: 570.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.96 : 668.39 = 380.03 : x
  2. Step 2: Convert to fraction form
    444.96/668.39 = 380.03/x
  3. Step 3: Cross multiply
    444.96x = 668.39 × 380.03
  4. Step 4: Simplify right side
    444.96x = 254,003.01
  5. Step 5: Solve for x
    x = 254,003.01/444.96
  6. Step 6: Final answer
    x = 570.84

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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.