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Finding the Fourth Proportional to 513.44, 769.82 and 188.63

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Solution

The fourth proportional to 513.44, 769.82 and 188.63 is: 282.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.44 : 769.82 = 188.63 : x
  2. Step 2: Convert to fraction form
    513.44/769.82 = 188.63/x
  3. Step 3: Cross multiply
    513.44x = 769.82 × 188.63
  4. Step 4: Simplify right side
    513.44x = 145,206.35
  5. Step 5: Solve for x
    x = 145,206.35/513.44
  6. Step 6: Final answer
    x = 282.81

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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.