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Finding the Fourth Proportional to 321.73, 482.53 and 116.31

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Solution

The fourth proportional to 321.73, 482.53 and 116.31 is: 174.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.73 : 482.53 = 116.31 : x
  2. Step 2: Convert to fraction form
    321.73/482.53 = 116.31/x
  3. Step 3: Cross multiply
    321.73x = 482.53 × 116.31
  4. Step 4: Simplify right side
    321.73x = 56,123.06
  5. Step 5: Solve for x
    x = 56,123.06/321.73
  6. Step 6: Final answer
    x = 174.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.