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Finding the Fourth Proportional to 610.44, 914.80 and 321.52

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Solution

The fourth proportional to 610.44, 914.80 and 321.52 is: 481.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.44 : 914.80 = 321.52 : x
  2. Step 2: Convert to fraction form
    610.44/914.80 = 321.52/x
  3. Step 3: Cross multiply
    610.44x = 914.80 × 321.52
  4. Step 4: Simplify right side
    610.44x = 294,126.50
  5. Step 5: Solve for x
    x = 294,126.50/610.44
  6. Step 6: Final answer
    x = 481.83

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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.