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Finding the Fourth Proportional to 641.53, 884.56 and 449.41

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Solution

The fourth proportional to 641.53, 884.56 and 449.41 is: 619.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.53 : 884.56 = 449.41 : x
  2. Step 2: Convert to fraction form
    641.53/884.56 = 449.41/x
  3. Step 3: Cross multiply
    641.53x = 884.56 × 449.41
  4. Step 4: Simplify right side
    641.53x = 397,530.11
  5. Step 5: Solve for x
    x = 397,530.11/641.53
  6. Step 6: Final answer
    x = 619.66

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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.