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Finding the Fourth Proportional to 297.95, 446.71 and 200.33

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Solution

The fourth proportional to 297.95, 446.71 and 200.33 is: 300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.95 : 446.71 = 200.33 : x
  2. Step 2: Convert to fraction form
    297.95/446.71 = 200.33/x
  3. Step 3: Cross multiply
    297.95x = 446.71 × 200.33
  4. Step 4: Simplify right side
    297.95x = 89,489.41
  5. Step 5: Solve for x
    x = 89,489.41/297.95
  6. Step 6: Final answer
    x = 300.35

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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.