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Finding the Fourth Proportional to 680.14, 938.48 and 431.02

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Solution

The fourth proportional to 680.14, 938.48 and 431.02 is: 594.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.14 : 938.48 = 431.02 : x
  2. Step 2: Convert to fraction form
    680.14/938.48 = 431.02/x
  3. Step 3: Cross multiply
    680.14x = 938.48 × 431.02
  4. Step 4: Simplify right side
    680.14x = 404,503.65
  5. Step 5: Solve for x
    x = 404,503.65/680.14
  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.