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Finding the Fourth Proportional to 510.73, 765.41 and 185.78

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Solution

The fourth proportional to 510.73, 765.41 and 185.78 is: 278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.73 : 765.41 = 185.78 : x
  2. Step 2: Convert to fraction form
    510.73/765.41 = 185.78/x
  3. Step 3: Cross multiply
    510.73x = 765.41 × 185.78
  4. Step 4: Simplify right side
    510.73x = 142,197.87
  5. Step 5: Solve for x
    x = 142,197.87/510.73
  6. Step 6: Final answer
    x = 278.42

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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.