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Finding the Fourth Proportional to 493.70, 741 and 250.39

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Solution

The fourth proportional to 493.70, 741 and 250.39 is: 375.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.70 : 741 = 250.39 : x
  2. Step 2: Convert to fraction form
    493.70/741 = 250.39/x
  3. Step 3: Cross multiply
    493.70x = 741 × 250.39
  4. Step 4: Simplify right side
    493.70x = 185,538.99
  5. Step 5: Solve for x
    x = 185,538.99/493.70
  6. Step 6: Final answer
    x = 375.81

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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.