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Finding the Fourth Proportional to 442.47, 664.79 and 250.23

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Solution

The fourth proportional to 442.47, 664.79 and 250.23 is: 375.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.47 : 664.79 = 250.23 : x
  2. Step 2: Convert to fraction form
    442.47/664.79 = 250.23/x
  3. Step 3: Cross multiply
    442.47x = 664.79 × 250.23
  4. Step 4: Simplify right side
    442.47x = 166,349.15
  5. Step 5: Solve for x
    x = 166,349.15/442.47
  6. Step 6: Final answer
    x = 375.96

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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.