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Finding the Fourth Proportional to 423.43, 634.44 and 407.43

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Solution

The fourth proportional to 423.43, 634.44 and 407.43 is: 610.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.43 : 634.44 = 407.43 : x
  2. Step 2: Convert to fraction form
    423.43/634.44 = 407.43/x
  3. Step 3: Cross multiply
    423.43x = 634.44 × 407.43
  4. Step 4: Simplify right side
    423.43x = 258,493.80
  5. Step 5: Solve for x
    x = 258,493.80/423.43
  6. Step 6: Final answer
    x = 610.47

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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.