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Finding the Fourth Proportional to 676.97, 934.22 and 382.26

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Solution

The fourth proportional to 676.97, 934.22 and 382.26 is: 527.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.97 : 934.22 = 382.26 : x
  2. Step 2: Convert to fraction form
    676.97/934.22 = 382.26/x
  3. Step 3: Cross multiply
    676.97x = 934.22 × 382.26
  4. Step 4: Simplify right side
    676.97x = 357,114.94
  5. Step 5: Solve for x
    x = 357,114.94/676.97
  6. Step 6: Final answer
    x = 527.52

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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.