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Finding the Fourth Proportional to 511.86, 705.94 and 379.12

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Solution

The fourth proportional to 511.86, 705.94 and 379.12 is: 522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.86 : 705.94 = 379.12 : x
  2. Step 2: Convert to fraction form
    511.86/705.94 = 379.12/x
  3. Step 3: Cross multiply
    511.86x = 705.94 × 379.12
  4. Step 4: Simplify right side
    511.86x = 267,635.97
  5. Step 5: Solve for x
    x = 267,635.97/511.86
  6. Step 6: Final answer
    x = 522.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.