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Finding the Fourth Proportional to 701.41, 967.42 and 464.94

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Solution

The fourth proportional to 701.41, 967.42 and 464.94 is: 641.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.41 : 967.42 = 464.94 : x
  2. Step 2: Convert to fraction form
    701.41/967.42 = 464.94/x
  3. Step 3: Cross multiply
    701.41x = 967.42 × 464.94
  4. Step 4: Simplify right side
    701.41x = 449,792.25
  5. Step 5: Solve for x
    x = 449,792.25/701.41
  6. Step 6: Final answer
    x = 641.27

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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.