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Finding the Fourth Proportional to 511.90, 706.89 and 372.82

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Solution

The fourth proportional to 511.90, 706.89 and 372.82 is: 514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.90 : 706.89 = 372.82 : x
  2. Step 2: Convert to fraction form
    511.90/706.89 = 372.82/x
  3. Step 3: Cross multiply
    511.90x = 706.89 × 372.82
  4. Step 4: Simplify right side
    511.90x = 263,542.73
  5. Step 5: Solve for x
    x = 263,542.73/511.90
  6. Step 6: Final answer
    x = 514.83

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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.