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Finding the Fourth Proportional to 803.21, 1,204.83 and 255.38

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Solution

The fourth proportional to 803.21, 1,204.83 and 255.38 is: 383.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.21 : 1,204.83 = 255.38 : x
  2. Step 2: Convert to fraction form
    803.21/1,204.83 = 255.38/x
  3. Step 3: Cross multiply
    803.21x = 1,204.83 × 255.38
  4. Step 4: Simplify right side
    803.21x = 307,689.49
  5. Step 5: Solve for x
    x = 307,689.49/803.21
  6. Step 6: Final answer
    x = 383.07

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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.