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Finding the Fourth Proportional to 442.02, 609.96 and 245.54

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Solution

The fourth proportional to 442.02, 609.96 and 245.54 is: 338.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.02 : 609.96 = 245.54 : x
  2. Step 2: Convert to fraction form
    442.02/609.96 = 245.54/x
  3. Step 3: Cross multiply
    442.02x = 609.96 × 245.54
  4. Step 4: Simplify right side
    442.02x = 149,769.58
  5. Step 5: Solve for x
    x = 149,769.58/442.02
  6. Step 6: Final answer
    x = 338.83

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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.