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Finding the Fourth Proportional to 803.24, 1,205.09 and 255.46

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Solution

The fourth proportional to 803.24, 1,205.09 and 255.46 is: 383.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.24 : 1,205.09 = 255.46 : x
  2. Step 2: Convert to fraction form
    803.24/1,205.09 = 255.46/x
  3. Step 3: Cross multiply
    803.24x = 1,205.09 × 255.46
  4. Step 4: Simplify right side
    803.24x = 307,852.29
  5. Step 5: Solve for x
    x = 307,852.29/803.24
  6. Step 6: Final answer
    x = 383.26

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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.