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Finding the Fourth Proportional to 441.50, 609.29 and 294.38

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Solution

The fourth proportional to 441.50, 609.29 and 294.38 is: 406.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.50 : 609.29 = 294.38 : x
  2. Step 2: Convert to fraction form
    441.50/609.29 = 294.38/x
  3. Step 3: Cross multiply
    441.50x = 609.29 × 294.38
  4. Step 4: Simplify right side
    441.50x = 179,360.48
  5. Step 5: Solve for x
    x = 179,360.48/441.50
  6. Step 6: Final answer
    x = 406.26

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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.