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Finding the Fourth Proportional to 965.05, 1,446.21 and 387.25

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Solution

The fourth proportional to 965.05, 1,446.21 and 387.25 is: 580.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.05 : 1,446.21 = 387.25 : x
  2. Step 2: Convert to fraction form
    965.05/1,446.21 = 387.25/x
  3. Step 3: Cross multiply
    965.05x = 1,446.21 × 387.25
  4. Step 4: Simplify right side
    965.05x = 560,044.82
  5. Step 5: Solve for x
    x = 560,044.82/965.05
  6. Step 6: Final answer
    x = 580.33

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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.