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Finding the Fourth Proportional to 444.20, 664.40 and 432.42

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Solution

The fourth proportional to 444.20, 664.40 and 432.42 is: 646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.20 : 664.40 = 432.42 : x
  2. Step 2: Convert to fraction form
    444.20/664.40 = 432.42/x
  3. Step 3: Cross multiply
    444.20x = 664.40 × 432.42
  4. Step 4: Simplify right side
    444.20x = 287,299.85
  5. Step 5: Solve for x
    x = 287,299.85/444.20
  6. Step 6: Final answer
    x = 646.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.