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Finding the Fourth Proportional to 813.37, 1,220.24 and 265.55

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Solution

The fourth proportional to 813.37, 1,220.24 and 265.55 is: 398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.37 : 1,220.24 = 265.55 : x
  2. Step 2: Convert to fraction form
    813.37/1,220.24 = 265.55/x
  3. Step 3: Cross multiply
    813.37x = 1,220.24 × 265.55
  4. Step 4: Simplify right side
    813.37x = 324,034.73
  5. Step 5: Solve for x
    x = 324,034.73/813.37
  6. Step 6: Final answer
    x = 398.39

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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.