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Finding the Fourth Proportional to 679.72, 937.94 and 414.23

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Solution

The fourth proportional to 679.72, 937.94 and 414.23 is: 571.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.72 : 937.94 = 414.23 : x
  2. Step 2: Convert to fraction form
    679.72/937.94 = 414.23/x
  3. Step 3: Cross multiply
    679.72x = 937.94 × 414.23
  4. Step 4: Simplify right side
    679.72x = 388,522.89
  5. Step 5: Solve for x
    x = 388,522.89/679.72
  6. Step 6: Final answer
    x = 571.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.