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Finding the Fourth Proportional to 637.69, 955.92 and 271.97

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Solution

The fourth proportional to 637.69, 955.92 and 271.97 is: 407.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.69 : 955.92 = 271.97 : x
  2. Step 2: Convert to fraction form
    637.69/955.92 = 271.97/x
  3. Step 3: Cross multiply
    637.69x = 955.92 × 271.97
  4. Step 4: Simplify right side
    637.69x = 259,981.56
  5. Step 5: Solve for x
    x = 259,981.56/637.69
  6. Step 6: Final answer
    x = 407.69

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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.