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Finding the Fourth Proportional to 321.76, 442.01 and 263.44

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Solution

The fourth proportional to 321.76, 442.01 and 263.44 is: 361.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.76 : 442.01 = 263.44 : x
  2. Step 2: Convert to fraction form
    321.76/442.01 = 263.44/x
  3. Step 3: Cross multiply
    321.76x = 442.01 × 263.44
  4. Step 4: Simplify right side
    321.76x = 116,443.11
  5. Step 5: Solve for x
    x = 116,443.11/321.76
  6. Step 6: Final answer
    x = 361.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.