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Finding the Fourth Proportional to 641.40, 884.76 and 444.57

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Solution

The fourth proportional to 641.40, 884.76 and 444.57 is: 613.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.40 : 884.76 = 444.57 : x
  2. Step 2: Convert to fraction form
    641.40/884.76 = 444.57/x
  3. Step 3: Cross multiply
    641.40x = 884.76 × 444.57
  4. Step 4: Simplify right side
    641.40x = 393,337.75
  5. Step 5: Solve for x
    x = 393,337.75/641.40
  6. Step 6: Final answer
    x = 613.25

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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.