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Finding the Fourth Proportional to 680.26, 938.40 and 431.14

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Solution

The fourth proportional to 680.26, 938.40 and 431.14 is: 594.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.26 : 938.40 = 431.14 : x
  2. Step 2: Convert to fraction form
    680.26/938.40 = 431.14/x
  3. Step 3: Cross multiply
    680.26x = 938.40 × 431.14
  4. Step 4: Simplify right side
    680.26x = 404,579.62
  5. Step 5: Solve for x
    x = 404,579.62/680.26
  6. Step 6: Final answer
    x = 594.74

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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.