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Finding the Fourth Proportional to 321.93, 444.53 and 275.76

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Solution

The fourth proportional to 321.93, 444.53 and 275.76 is: 380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.93 : 444.53 = 275.76 : x
  2. Step 2: Convert to fraction form
    321.93/444.53 = 275.76/x
  3. Step 3: Cross multiply
    321.93x = 444.53 × 275.76
  4. Step 4: Simplify right side
    321.93x = 122,584.28
  5. Step 5: Solve for x
    x = 122,584.28/321.93
  6. Step 6: Final answer
    x = 380.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.