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Finding the Fourth Proportional to 350.26, 524.78 and 337.67

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Solution

The fourth proportional to 350.26, 524.78 and 337.67 is: 505.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.26 : 524.78 = 337.67 : x
  2. Step 2: Convert to fraction form
    350.26/524.78 = 337.67/x
  3. Step 3: Cross multiply
    350.26x = 524.78 × 337.67
  4. Step 4: Simplify right side
    350.26x = 177,201.38
  5. Step 5: Solve for x
    x = 177,201.38/350.26
  6. Step 6: Final answer
    x = 505.92

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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.