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Finding the Fourth Proportional to 323.50, 446.29 and 215.74

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Solution

The fourth proportional to 323.50, 446.29 and 215.74 is: 297.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.50 : 446.29 = 215.74 : x
  2. Step 2: Convert to fraction form
    323.50/446.29 = 215.74/x
  3. Step 3: Cross multiply
    323.50x = 446.29 × 215.74
  4. Step 4: Simplify right side
    323.50x = 96,280.95
  5. Step 5: Solve for x
    x = 96,280.95/323.50
  6. Step 6: Final answer
    x = 297.63

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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.