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Finding the Fourth Proportional to 513.93, 770.82 and 189.22

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Solution

The fourth proportional to 513.93, 770.82 and 189.22 is: 283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.93 : 770.82 = 189.22 : x
  2. Step 2: Convert to fraction form
    513.93/770.82 = 189.22/x
  3. Step 3: Cross multiply
    513.93x = 770.82 × 189.22
  4. Step 4: Simplify right side
    513.93x = 145,853.61
  5. Step 5: Solve for x
    x = 145,853.61/513.93
  6. Step 6: Final answer
    x = 283.80

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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.