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Finding the Fourth Proportional to 493.62, 741.51 and 422.34

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Solution

The fourth proportional to 493.62, 741.51 and 422.34 is: 634.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.62 : 741.51 = 422.34 : x
  2. Step 2: Convert to fraction form
    493.62/741.51 = 422.34/x
  3. Step 3: Cross multiply
    493.62x = 741.51 × 422.34
  4. Step 4: Simplify right side
    493.62x = 313,169.33
  5. Step 5: Solve for x
    x = 313,169.33/493.62
  6. Step 6: Final answer
    x = 634.43

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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.