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Finding the Fourth Proportional to 676.46, 932.36 and 455.34

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Solution

The fourth proportional to 676.46, 932.36 and 455.34 is: 627.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.46 : 932.36 = 455.34 : x
  2. Step 2: Convert to fraction form
    676.46/932.36 = 455.34/x
  3. Step 3: Cross multiply
    676.46x = 932.36 × 455.34
  4. Step 4: Simplify right side
    676.46x = 424,540.80
  5. Step 5: Solve for x
    x = 424,540.80/676.46
  6. Step 6: Final answer
    x = 627.59

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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.