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Finding the Fourth Proportional to 512.88, 708.68 and 379.91

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Solution

The fourth proportional to 512.88, 708.68 and 379.91 is: 524.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.88 : 708.68 = 379.91 : x
  2. Step 2: Convert to fraction form
    512.88/708.68 = 379.91/x
  3. Step 3: Cross multiply
    512.88x = 708.68 × 379.91
  4. Step 4: Simplify right side
    512.88x = 269,234.62
  5. Step 5: Solve for x
    x = 269,234.62/512.88
  6. Step 6: Final answer
    x = 524.95

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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.