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Finding the Fourth Proportional to 403.80, 604.41 and 383.73

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Solution

The fourth proportional to 403.80, 604.41 and 383.73 is: 574.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.80 : 604.41 = 383.73 : x
  2. Step 2: Convert to fraction form
    403.80/604.41 = 383.73/x
  3. Step 3: Cross multiply
    403.80x = 604.41 × 383.73
  4. Step 4: Simplify right side
    403.80x = 231,930.25
  5. Step 5: Solve for x
    x = 231,930.25/403.80
  6. Step 6: Final answer
    x = 574.37

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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.