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Finding the Fourth Proportional to 803.39, 1,205.25 and 255.61

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Solution

The fourth proportional to 803.39, 1,205.25 and 255.61 is: 383.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.39 : 1,205.25 = 255.61 : x
  2. Step 2: Convert to fraction form
    803.39/1,205.25 = 255.61/x
  3. Step 3: Cross multiply
    803.39x = 1,205.25 × 255.61
  4. Step 4: Simplify right side
    803.39x = 308,073.95
  5. Step 5: Solve for x
    x = 308,073.95/803.39
  6. Step 6: Final answer
    x = 383.47

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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.