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Finding the Fourth Proportional to 323.94, 486.36 and 202.71

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Solution

The fourth proportional to 323.94, 486.36 and 202.71 is: 304.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.94 : 486.36 = 202.71 : x
  2. Step 2: Convert to fraction form
    323.94/486.36 = 202.71/x
  3. Step 3: Cross multiply
    323.94x = 486.36 × 202.71
  4. Step 4: Simplify right side
    323.94x = 98,590.04
  5. Step 5: Solve for x
    x = 98,590.04/323.94
  6. Step 6: Final answer
    x = 304.35

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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.