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Finding the Fourth Proportional to 379.94, 524.23 and 269.37

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Solution

The fourth proportional to 379.94, 524.23 and 269.37 is: 371.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.94 : 524.23 = 269.37 : x
  2. Step 2: Convert to fraction form
    379.94/524.23 = 269.37/x
  3. Step 3: Cross multiply
    379.94x = 524.23 × 269.37
  4. Step 4: Simplify right side
    379.94x = 141,211.16
  5. Step 5: Solve for x
    x = 141,211.16/379.94
  6. Step 6: Final answer
    x = 371.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.