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Finding the Fourth Proportional to 803.44, 1,205.34 and 255.67

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Solution

The fourth proportional to 803.44, 1,205.34 and 255.67 is: 383.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.44 : 1,205.34 = 255.67 : x
  2. Step 2: Convert to fraction form
    803.44/1,205.34 = 255.67/x
  3. Step 3: Cross multiply
    803.44x = 1,205.34 × 255.67
  4. Step 4: Simplify right side
    803.44x = 308,165.31
  5. Step 5: Solve for x
    x = 308,165.31/803.44
  6. Step 6: Final answer
    x = 383.56

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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.