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Finding the Fourth Proportional to 499.69, 749.40 and 174.97

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Solution

The fourth proportional to 499.69, 749.40 and 174.97 is: 262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.69 : 749.40 = 174.97 : x
  2. Step 2: Convert to fraction form
    499.69/749.40 = 174.97/x
  3. Step 3: Cross multiply
    499.69x = 749.40 × 174.97
  4. Step 4: Simplify right side
    499.69x = 131,122.52
  5. Step 5: Solve for x
    x = 131,122.52/499.69
  6. Step 6: Final answer
    x = 262.41

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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.