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Finding the Fourth Proportional to 679.62, 937.96 and 414.11

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Solution

The fourth proportional to 679.62, 937.96 and 414.11 is: 571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.62 : 937.96 = 414.11 : x
  2. Step 2: Convert to fraction form
    679.62/937.96 = 414.11/x
  3. Step 3: Cross multiply
    679.62x = 937.96 × 414.11
  4. Step 4: Simplify right side
    679.62x = 388,418.62
  5. Step 5: Solve for x
    x = 388,418.62/679.62
  6. Step 6: Final answer
    x = 571.52

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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.