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Finding the Fourth Proportional to 464.41, 696.97 and 172.09

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Solution

The fourth proportional to 464.41, 696.97 and 172.09 is: 258.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.41 : 696.97 = 172.09 : x
  2. Step 2: Convert to fraction form
    464.41/696.97 = 172.09/x
  3. Step 3: Cross multiply
    464.41x = 696.97 × 172.09
  4. Step 4: Simplify right side
    464.41x = 119,940.70
  5. Step 5: Solve for x
    x = 119,940.70/464.41
  6. Step 6: Final answer
    x = 258.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.