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Finding the Fourth Proportional to 676.42, 932.31 and 477.33

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Solution

The fourth proportional to 676.42, 932.31 and 477.33 is: 657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.42 : 932.31 = 477.33 : x
  2. Step 2: Convert to fraction form
    676.42/932.31 = 477.33/x
  3. Step 3: Cross multiply
    676.42x = 932.31 × 477.33
  4. Step 4: Simplify right side
    676.42x = 445,016.04
  5. Step 5: Solve for x
    x = 445,016.04/676.42
  6. Step 6: Final answer
    x = 657.90

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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.