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Finding the Fourth Proportional to 676.33, 1,013.88 and 351.92

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Solution

The fourth proportional to 676.33, 1,013.88 and 351.92 is: 527.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.33 : 1,013.88 = 351.92 : x
  2. Step 2: Convert to fraction form
    676.33/1,013.88 = 351.92/x
  3. Step 3: Cross multiply
    676.33x = 1,013.88 × 351.92
  4. Step 4: Simplify right side
    676.33x = 356,804.65
  5. Step 5: Solve for x
    x = 356,804.65/676.33
  6. Step 6: Final answer
    x = 527.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.