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Finding the Fourth Proportional to 442.61, 664.08 and 211.60

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Solution

The fourth proportional to 442.61, 664.08 and 211.60 is: 317.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.61 : 664.08 = 211.60 : x
  2. Step 2: Convert to fraction form
    442.61/664.08 = 211.60/x
  3. Step 3: Cross multiply
    442.61x = 664.08 × 211.60
  4. Step 4: Simplify right side
    442.61x = 140,519.33
  5. Step 5: Solve for x
    x = 140,519.33/442.61
  6. Step 6: Final answer
    x = 317.48

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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.