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Finding the Fourth Proportional to 671.28, 926.37 and 405.73

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Solution

The fourth proportional to 671.28, 926.37 and 405.73 is: 559.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.28 : 926.37 = 405.73 : x
  2. Step 2: Convert to fraction form
    671.28/926.37 = 405.73/x
  3. Step 3: Cross multiply
    671.28x = 926.37 × 405.73
  4. Step 4: Simplify right side
    671.28x = 375,856.10
  5. Step 5: Solve for x
    x = 375,856.10/671.28
  6. Step 6: Final answer
    x = 559.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.