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Finding the Fourth Proportional to 680.10, 938.28 and 414.60

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Solution

The fourth proportional to 680.10, 938.28 and 414.60 is: 571.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.10 : 938.28 = 414.60 : x
  2. Step 2: Convert to fraction form
    680.10/938.28 = 414.60/x
  3. Step 3: Cross multiply
    680.10x = 938.28 × 414.60
  4. Step 4: Simplify right side
    680.10x = 389,010.89
  5. Step 5: Solve for x
    x = 389,010.89/680.10
  6. Step 6: Final answer
    x = 571.99

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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.