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Finding the Fourth Proportional to 671.67, 1,006.92 and 306.45

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Solution

The fourth proportional to 671.67, 1,006.92 and 306.45 is: 459.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.67 : 1,006.92 = 306.45 : x
  2. Step 2: Convert to fraction form
    671.67/1,006.92 = 306.45/x
  3. Step 3: Cross multiply
    671.67x = 1,006.92 × 306.45
  4. Step 4: Simplify right side
    671.67x = 308,570.63
  5. Step 5: Solve for x
    x = 308,570.63/671.67
  6. Step 6: Final answer
    x = 459.41

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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.