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Finding the Fourth Proportional to 441.41, 609.20 and 301.48

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Solution

The fourth proportional to 441.41, 609.20 and 301.48 is: 416.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.41 : 609.20 = 301.48 : x
  2. Step 2: Convert to fraction form
    441.41/609.20 = 301.48/x
  3. Step 3: Cross multiply
    441.41x = 609.20 × 301.48
  4. Step 4: Simplify right side
    441.41x = 183,660.11
  5. Step 5: Solve for x
    x = 183,660.11/441.41
  6. Step 6: Final answer
    x = 416.08

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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.