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Finding the Fourth Proportional to 320.84, 443.28 and 255.92

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Solution

The fourth proportional to 320.84, 443.28 and 255.92 is: 353.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.84 : 443.28 = 255.92 : x
  2. Step 2: Convert to fraction form
    320.84/443.28 = 255.92/x
  3. Step 3: Cross multiply
    320.84x = 443.28 × 255.92
  4. Step 4: Simplify right side
    320.84x = 113,444.22
  5. Step 5: Solve for x
    x = 113,444.22/320.84
  6. Step 6: Final answer
    x = 353.59

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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.