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Finding the Fourth Proportional to 496.97, 745.09 and 301.93

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Solution

The fourth proportional to 496.97, 745.09 and 301.93 is: 452.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.97 : 745.09 = 301.93 : x
  2. Step 2: Convert to fraction form
    496.97/745.09 = 301.93/x
  3. Step 3: Cross multiply
    496.97x = 745.09 × 301.93
  4. Step 4: Simplify right side
    496.97x = 224,961.98
  5. Step 5: Solve for x
    x = 224,961.98/496.97
  6. Step 6: Final answer
    x = 452.66

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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.