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Finding the Fourth Proportional to 323.84, 484.80 and 254.72

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Solution

The fourth proportional to 323.84, 484.80 and 254.72 is: 381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.84 : 484.80 = 254.72 : x
  2. Step 2: Convert to fraction form
    323.84/484.80 = 254.72/x
  3. Step 3: Cross multiply
    323.84x = 484.80 × 254.72
  4. Step 4: Simplify right side
    323.84x = 123,488.26
  5. Step 5: Solve for x
    x = 123,488.26/323.84
  6. Step 6: Final answer
    x = 381.32

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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.