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Finding the Fourth Proportional to 442.36, 610.24 and 311.44

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Solution

The fourth proportional to 442.36, 610.24 and 311.44 is: 429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.36 : 610.24 = 311.44 : x
  2. Step 2: Convert to fraction form
    442.36/610.24 = 311.44/x
  3. Step 3: Cross multiply
    442.36x = 610.24 × 311.44
  4. Step 4: Simplify right side
    442.36x = 190,053.15
  5. Step 5: Solve for x
    x = 190,053.15/442.36
  6. Step 6: Final answer
    x = 429.63

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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.