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Finding the Fourth Proportional to 671.14, 926.40 and 422.88

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Solution

The fourth proportional to 671.14, 926.40 and 422.88 is: 583.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.14 : 926.40 = 422.88 : x
  2. Step 2: Convert to fraction form
    671.14/926.40 = 422.88/x
  3. Step 3: Cross multiply
    671.14x = 926.40 × 422.88
  4. Step 4: Simplify right side
    671.14x = 391,756.03
  5. Step 5: Solve for x
    x = 391,756.03/671.14
  6. Step 6: Final answer
    x = 583.72

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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.