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Finding the Fourth Proportional to 671.70, 926.91 and 422.94

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Solution

The fourth proportional to 671.70, 926.91 and 422.94 is: 583.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.70 : 926.91 = 422.94 : x
  2. Step 2: Convert to fraction form
    671.70/926.91 = 422.94/x
  3. Step 3: Cross multiply
    671.70x = 926.91 × 422.94
  4. Step 4: Simplify right side
    671.70x = 392,027.32
  5. Step 5: Solve for x
    x = 392,027.32/671.70
  6. Step 6: Final answer
    x = 583.63

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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.