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Finding the Fourth Proportional to 676.23, 932.82 and 427.46

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Solution

The fourth proportional to 676.23, 932.82 and 427.46 is: 589.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.23 : 932.82 = 427.46 : x
  2. Step 2: Convert to fraction form
    676.23/932.82 = 427.46/x
  3. Step 3: Cross multiply
    676.23x = 932.82 × 427.46
  4. Step 4: Simplify right side
    676.23x = 398,738.57
  5. Step 5: Solve for x
    x = 398,738.57/676.23
  6. Step 6: Final answer
    x = 589.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.