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Finding the Fourth Proportional to 513.69, 770.53 and 189.05

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Solution

The fourth proportional to 513.69, 770.53 and 189.05 is: 283.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.69 : 770.53 = 189.05 : x
  2. Step 2: Convert to fraction form
    513.69/770.53 = 189.05/x
  3. Step 3: Cross multiply
    513.69x = 770.53 × 189.05
  4. Step 4: Simplify right side
    513.69x = 145,668.70
  5. Step 5: Solve for x
    x = 145,668.70/513.69
  6. Step 6: Final answer
    x = 283.58

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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.