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Finding the Fourth Proportional to 680.04, 938.12 and 431.17

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Solution

The fourth proportional to 680.04, 938.12 and 431.17 is: 594.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.04 : 938.12 = 431.17 : x
  2. Step 2: Convert to fraction form
    680.04/938.12 = 431.17/x
  3. Step 3: Cross multiply
    680.04x = 938.12 × 431.17
  4. Step 4: Simplify right side
    680.04x = 404,484.70
  5. Step 5: Solve for x
    x = 404,484.70/680.04
  6. Step 6: Final answer
    x = 594.80

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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.