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Finding the Fourth Proportional to 672.26, 1,007.99 and 306.85

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Solution

The fourth proportional to 672.26, 1,007.99 and 306.85 is: 460.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.26 : 1,007.99 = 306.85 : x
  2. Step 2: Convert to fraction form
    672.26/1,007.99 = 306.85/x
  3. Step 3: Cross multiply
    672.26x = 1,007.99 × 306.85
  4. Step 4: Simplify right side
    672.26x = 309,299.98
  5. Step 5: Solve for x
    x = 309,299.98/672.26
  6. Step 6: Final answer
    x = 460.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.