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Finding the Fourth Proportional to 297.89, 446.83 and 282.09

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Solution

The fourth proportional to 297.89, 446.83 and 282.09 is: 423.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.89 : 446.83 = 282.09 : x
  2. Step 2: Convert to fraction form
    297.89/446.83 = 282.09/x
  3. Step 3: Cross multiply
    297.89x = 446.83 × 282.09
  4. Step 4: Simplify right side
    297.89x = 126,044.86
  5. Step 5: Solve for x
    x = 126,044.86/297.89
  6. Step 6: Final answer
    x = 423.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.