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Finding the Fourth Proportional to 676.56, 932.56 and 455.44

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Solution

The fourth proportional to 676.56, 932.56 and 455.44 is: 627.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.56 : 932.56 = 455.44 : x
  2. Step 2: Convert to fraction form
    676.56/932.56 = 455.44/x
  3. Step 3: Cross multiply
    676.56x = 932.56 × 455.44
  4. Step 4: Simplify right side
    676.56x = 424,725.13
  5. Step 5: Solve for x
    x = 424,725.13/676.56
  6. Step 6: Final answer
    x = 627.77

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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.