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Finding the Fourth Proportional to 513.43, 769.59 and 239.29

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Solution

The fourth proportional to 513.43, 769.59 and 239.29 is: 358.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.43 : 769.59 = 239.29 : x
  2. Step 2: Convert to fraction form
    513.43/769.59 = 239.29/x
  3. Step 3: Cross multiply
    513.43x = 769.59 × 239.29
  4. Step 4: Simplify right side
    513.43x = 184,153.27
  5. Step 5: Solve for x
    x = 184,153.27/513.43
  6. Step 6: Final answer
    x = 358.67

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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.