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Finding the Fourth Proportional to 680.13, 937.89 and 414.60

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Solution

The fourth proportional to 680.13, 937.89 and 414.60 is: 571.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.13 : 937.89 = 414.60 : x
  2. Step 2: Convert to fraction form
    680.13/937.89 = 414.60/x
  3. Step 3: Cross multiply
    680.13x = 937.89 × 414.60
  4. Step 4: Simplify right side
    680.13x = 388,849.19
  5. Step 5: Solve for x
    x = 388,849.19/680.13
  6. Step 6: Final answer
    x = 571.73

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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.