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Finding the Fourth Proportional to 496.69, 744.66 and 301.73

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Solution

The fourth proportional to 496.69, 744.66 and 301.73 is: 452.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.69 : 744.66 = 301.73 : x
  2. Step 2: Convert to fraction form
    496.69/744.66 = 301.73/x
  3. Step 3: Cross multiply
    496.69x = 744.66 × 301.73
  4. Step 4: Simplify right side
    496.69x = 224,688.12
  5. Step 5: Solve for x
    x = 224,688.12/496.69
  6. Step 6: Final answer
    x = 452.37

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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.