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Finding the Fourth Proportional to 671.27, 1,006.82 and 260.37

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Solution

The fourth proportional to 671.27, 1,006.82 and 260.37 is: 390.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.27 : 1,006.82 = 260.37 : x
  2. Step 2: Convert to fraction form
    671.27/1,006.82 = 260.37/x
  3. Step 3: Cross multiply
    671.27x = 1,006.82 × 260.37
  4. Step 4: Simplify right side
    671.27x = 262,144.42
  5. Step 5: Solve for x
    x = 262,144.42/671.27
  6. Step 6: Final answer
    x = 390.52

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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.