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Finding the Fourth Proportional to 441.70, 609.64 and 245.28

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Solution

The fourth proportional to 441.70, 609.64 and 245.28 is: 338.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.70 : 609.64 = 245.28 : x
  2. Step 2: Convert to fraction form
    441.70/609.64 = 245.28/x
  3. Step 3: Cross multiply
    441.70x = 609.64 × 245.28
  4. Step 4: Simplify right side
    441.70x = 149,532.50
  5. Step 5: Solve for x
    x = 149,532.50/441.70
  6. Step 6: Final answer
    x = 338.54

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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.