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Finding the Fourth Proportional to 441.63, 609.75 and 294.39

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Solution

The fourth proportional to 441.63, 609.75 and 294.39 is: 406.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.63 : 609.75 = 294.39 : x
  2. Step 2: Convert to fraction form
    441.63/609.75 = 294.39/x
  3. Step 3: Cross multiply
    441.63x = 609.75 × 294.39
  4. Step 4: Simplify right side
    441.63x = 179,504.30
  5. Step 5: Solve for x
    x = 179,504.30/441.63
  6. Step 6: Final answer
    x = 406.46

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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.