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Finding the Fourth Proportional to 676.96, 934.30 and 397.24

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Solution

The fourth proportional to 676.96, 934.30 and 397.24 is: 548.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.96 : 934.30 = 397.24 : x
  2. Step 2: Convert to fraction form
    676.96/934.30 = 397.24/x
  3. Step 3: Cross multiply
    676.96x = 934.30 × 397.24
  4. Step 4: Simplify right side
    676.96x = 371,141.33
  5. Step 5: Solve for x
    x = 371,141.33/676.96
  6. Step 6: Final answer
    x = 548.25

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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.