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Finding the Fourth Proportional to 462.69, 694.37 and 257.43

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Solution

The fourth proportional to 462.69, 694.37 and 257.43 is: 386.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.69 : 694.37 = 257.43 : x
  2. Step 2: Convert to fraction form
    462.69/694.37 = 257.43/x
  3. Step 3: Cross multiply
    462.69x = 694.37 × 257.43
  4. Step 4: Simplify right side
    462.69x = 178,752.31
  5. Step 5: Solve for x
    x = 178,752.31/462.69
  6. Step 6: Final answer
    x = 386.33

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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.