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Finding the Fourth Proportional to 423.42, 634.44 and 407.43

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Solution

The fourth proportional to 423.42, 634.44 and 407.43 is: 610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.42 : 634.44 = 407.43 : x
  2. Step 2: Convert to fraction form
    423.42/634.44 = 407.43/x
  3. Step 3: Cross multiply
    423.42x = 634.44 × 407.43
  4. Step 4: Simplify right side
    423.42x = 258,489.89
  5. Step 5: Solve for x
    x = 258,489.89/423.42
  6. Step 6: Final answer
    x = 610.48

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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.