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Finding the Fourth Proportional to 671.51, 1,007.24 and 306.29

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Solution

The fourth proportional to 671.51, 1,007.24 and 306.29 is: 459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.51 : 1,007.24 = 306.29 : x
  2. Step 2: Convert to fraction form
    671.51/1,007.24 = 306.29/x
  3. Step 3: Cross multiply
    671.51x = 1,007.24 × 306.29
  4. Step 4: Simplify right side
    671.51x = 308,504.75
  5. Step 5: Solve for x
    x = 308,504.75/671.51
  6. Step 6: Final answer
    x = 459.42

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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.