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Finding the Fourth Proportional to 803.58, 1,205.55 and 255.78

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Solution

The fourth proportional to 803.58, 1,205.55 and 255.78 is: 383.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.58 : 1,205.55 = 255.78 : x
  2. Step 2: Convert to fraction form
    803.58/1,205.55 = 255.78/x
  3. Step 3: Cross multiply
    803.58x = 1,205.55 × 255.78
  4. Step 4: Simplify right side
    803.58x = 308,355.58
  5. Step 5: Solve for x
    x = 308,355.58/803.58
  6. Step 6: Final answer
    x = 383.73

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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.