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Finding the Fourth Proportional to 641.56, 884.40 and 454.48

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Solution

The fourth proportional to 641.56, 884.40 and 454.48 is: 626.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.56 : 884.40 = 454.48 : x
  2. Step 2: Convert to fraction form
    641.56/884.40 = 454.48/x
  3. Step 3: Cross multiply
    641.56x = 884.40 × 454.48
  4. Step 4: Simplify right side
    641.56x = 401,942.11
  5. Step 5: Solve for x
    x = 401,942.11/641.56
  6. Step 6: Final answer
    x = 626.51

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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.