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Finding the Fourth Proportional to 513.87, 770.93 and 189.24

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Solution

The fourth proportional to 513.87, 770.93 and 189.24 is: 283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.87 : 770.93 = 189.24 : x
  2. Step 2: Convert to fraction form
    513.87/770.93 = 189.24/x
  3. Step 3: Cross multiply
    513.87x = 770.93 × 189.24
  4. Step 4: Simplify right side
    513.87x = 145,889.85
  5. Step 5: Solve for x
    x = 145,889.85/513.87
  6. Step 6: Final answer
    x = 283.90

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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.