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Finding the Fourth Proportional to 321.52, 481.87 and 277.98

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Solution

The fourth proportional to 321.52, 481.87 and 277.98 is: 416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.52 : 481.87 = 277.98 : x
  2. Step 2: Convert to fraction form
    321.52/481.87 = 277.98/x
  3. Step 3: Cross multiply
    321.52x = 481.87 × 277.98
  4. Step 4: Simplify right side
    321.52x = 133,950.22
  5. Step 5: Solve for x
    x = 133,950.22/321.52
  6. Step 6: Final answer
    x = 416.62

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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.