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Finding the Fourth Proportional to 803.31, 1,204.71 and 255.34

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Solution

The fourth proportional to 803.31, 1,204.71 and 255.34 is: 382.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.31 : 1,204.71 = 255.34 : x
  2. Step 2: Convert to fraction form
    803.31/1,204.71 = 255.34/x
  3. Step 3: Cross multiply
    803.31x = 1,204.71 × 255.34
  4. Step 4: Simplify right side
    803.31x = 307,610.65
  5. Step 5: Solve for x
    x = 307,610.65/803.31
  6. Step 6: Final answer
    x = 382.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.