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Finding the Fourth Proportional to 671.24, 1,006.73 and 208.96

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Solution

The fourth proportional to 671.24, 1,006.73 and 208.96 is: 313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.24 : 1,006.73 = 208.96 : x
  2. Step 2: Convert to fraction form
    671.24/1,006.73 = 208.96/x
  3. Step 3: Cross multiply
    671.24x = 1,006.73 × 208.96
  4. Step 4: Simplify right side
    671.24x = 210,361.27
  5. Step 5: Solve for x
    x = 210,361.27/671.24
  6. Step 6: Final answer
    x = 313.39

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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.