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Finding the Fourth Proportional to 442.30, 610.40 and 245.85

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Solution

The fourth proportional to 442.30, 610.40 and 245.85 is: 339.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.30 : 610.40 = 245.85 : x
  2. Step 2: Convert to fraction form
    442.30/610.40 = 245.85/x
  3. Step 3: Cross multiply
    442.30x = 610.40 × 245.85
  4. Step 4: Simplify right side
    442.30x = 150,067.45
  5. Step 5: Solve for x
    x = 150,067.45/442.30
  6. Step 6: Final answer
    x = 339.29

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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.