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Finding the Fourth Proportional to 510.97, 765.85 and 388.86

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Solution

The fourth proportional to 510.97, 765.85 and 388.86 is: 582.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.97 : 765.85 = 388.86 : x
  2. Step 2: Convert to fraction form
    510.97/765.85 = 388.86/x
  3. Step 3: Cross multiply
    510.97x = 765.85 × 388.86
  4. Step 4: Simplify right side
    510.97x = 297,808.43
  5. Step 5: Solve for x
    x = 297,808.43/510.97
  6. Step 6: Final answer
    x = 582.83

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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.