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Finding the Fourth Proportional to 442.09, 610.03 and 245.62

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Solution

The fourth proportional to 442.09, 610.03 and 245.62 is: 338.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.09 : 610.03 = 245.62 : x
  2. Step 2: Convert to fraction form
    442.09/610.03 = 245.62/x
  3. Step 3: Cross multiply
    442.09x = 610.03 × 245.62
  4. Step 4: Simplify right side
    442.09x = 149,833.21
  5. Step 5: Solve for x
    x = 149,833.21/442.09
  6. Step 6: Final answer
    x = 338.92

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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.