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Finding the Fourth Proportional to 323.39, 484.29 and 296.08

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Solution

The fourth proportional to 323.39, 484.29 and 296.08 is: 443.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.39 : 484.29 = 296.08 : x
  2. Step 2: Convert to fraction form
    323.39/484.29 = 296.08/x
  3. Step 3: Cross multiply
    323.39x = 484.29 × 296.08
  4. Step 4: Simplify right side
    323.39x = 143,387.10
  5. Step 5: Solve for x
    x = 143,387.10/323.39
  6. Step 6: Final answer
    x = 443.39

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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.