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Finding the Fourth Proportional to 441.42, 609.21 and 330.71

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Solution

The fourth proportional to 441.42, 609.21 and 330.71 is: 456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.42 : 609.21 = 330.71 : x
  2. Step 2: Convert to fraction form
    441.42/609.21 = 330.71/x
  3. Step 3: Cross multiply
    441.42x = 609.21 × 330.71
  4. Step 4: Simplify right side
    441.42x = 201,470.04
  5. Step 5: Solve for x
    x = 201,470.04/441.42
  6. Step 6: Final answer
    x = 456.41

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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.