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Finding the Fourth Proportional to 496.67, 745.10 and 204.33

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Solution

The fourth proportional to 496.67, 745.10 and 204.33 is: 306.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.67 : 745.10 = 204.33 : x
  2. Step 2: Convert to fraction form
    496.67/745.10 = 204.33/x
  3. Step 3: Cross multiply
    496.67x = 745.10 × 204.33
  4. Step 4: Simplify right side
    496.67x = 152,248.25
  5. Step 5: Solve for x
    x = 152,248.25/496.67
  6. Step 6: Final answer
    x = 306.54

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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.