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Finding the Fourth Proportional to 819.16, 1,228.39 and 325.46

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Solution

The fourth proportional to 819.16, 1,228.39 and 325.46 is: 488.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.16 : 1,228.39 = 325.46 : x
  2. Step 2: Convert to fraction form
    819.16/1,228.39 = 325.46/x
  3. Step 3: Cross multiply
    819.16x = 1,228.39 × 325.46
  4. Step 4: Simplify right side
    819.16x = 399,791.81
  5. Step 5: Solve for x
    x = 399,791.81/819.16
  6. Step 6: Final answer
    x = 488.05

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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.