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Finding the Fourth Proportional to 679.82, 937.80 and 414.09

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Solution

The fourth proportional to 679.82, 937.80 and 414.09 is: 571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.82 : 937.80 = 414.09 : x
  2. Step 2: Convert to fraction form
    679.82/937.80 = 414.09/x
  3. Step 3: Cross multiply
    679.82x = 937.80 × 414.09
  4. Step 4: Simplify right side
    679.82x = 388,333.60
  5. Step 5: Solve for x
    x = 388,333.60/679.82
  6. Step 6: Final answer
    x = 571.23

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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.