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Finding the Fourth Proportional to 352.26, 527.82 and 249.38

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Solution

The fourth proportional to 352.26, 527.82 and 249.38 is: 373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.26 : 527.82 = 249.38 : x
  2. Step 2: Convert to fraction form
    352.26/527.82 = 249.38/x
  3. Step 3: Cross multiply
    352.26x = 527.82 × 249.38
  4. Step 4: Simplify right side
    352.26x = 131,627.75
  5. Step 5: Solve for x
    x = 131,627.75/352.26
  6. Step 6: Final answer
    x = 373.67

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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.