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Finding the Fourth Proportional to 297.21, 446.31 and 282.99

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Solution

The fourth proportional to 297.21, 446.31 and 282.99 is: 424.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.21 : 446.31 = 282.99 : x
  2. Step 2: Convert to fraction form
    297.21/446.31 = 282.99/x
  3. Step 3: Cross multiply
    297.21x = 446.31 × 282.99
  4. Step 4: Simplify right side
    297.21x = 126,301.27
  5. Step 5: Solve for x
    x = 126,301.27/297.21
  6. Step 6: Final answer
    x = 424.96

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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.