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Finding the Fourth Proportional to 641.40, 884.22 and 431.20

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Solution

The fourth proportional to 641.40, 884.22 and 431.20 is: 594.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.40 : 884.22 = 431.20 : x
  2. Step 2: Convert to fraction form
    641.40/884.22 = 431.20/x
  3. Step 3: Cross multiply
    641.40x = 884.22 × 431.20
  4. Step 4: Simplify right side
    641.40x = 381,275.66
  5. Step 5: Solve for x
    x = 381,275.66/641.40
  6. Step 6: Final answer
    x = 594.44

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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.