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Finding the Fourth Proportional to 641.31, 884.34 and 431.49

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Solution

The fourth proportional to 641.31, 884.34 and 431.49 is: 595.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.31 : 884.34 = 431.49 : x
  2. Step 2: Convert to fraction form
    641.31/884.34 = 431.49/x
  3. Step 3: Cross multiply
    641.31x = 884.34 × 431.49
  4. Step 4: Simplify right side
    641.31x = 381,583.87
  5. Step 5: Solve for x
    x = 381,583.87/641.31
  6. Step 6: Final answer
    x = 595.01

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Why These Related Problems?

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