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Finding the Fourth Proportional to 762.25, 1,143.35 and 323.22

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Solution

The fourth proportional to 762.25, 1,143.35 and 323.22 is: 484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.25 : 1,143.35 = 323.22 : x
  2. Step 2: Convert to fraction form
    762.25/1,143.35 = 323.22/x
  3. Step 3: Cross multiply
    762.25x = 1,143.35 × 323.22
  4. Step 4: Simplify right side
    762.25x = 369,553.99
  5. Step 5: Solve for x
    x = 369,553.99/762.25
  6. Step 6: Final answer
    x = 484.82

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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.