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Finding the Fourth Proportional to 671.81, 1,007.39 and 301.73

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Solution

The fourth proportional to 671.81, 1,007.39 and 301.73 is: 452.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.81 : 1,007.39 = 301.73 : x
  2. Step 2: Convert to fraction form
    671.81/1,007.39 = 301.73/x
  3. Step 3: Cross multiply
    671.81x = 1,007.39 × 301.73
  4. Step 4: Simplify right side
    671.81x = 303,953.24
  5. Step 5: Solve for x
    x = 303,953.24/671.81
  6. Step 6: Final answer
    x = 452.44

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