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Finding the Fourth Proportional to 298.06, 446.97 and 282.69

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Solution

The fourth proportional to 298.06, 446.97 and 282.69 is: 423.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.06 : 446.97 = 282.69 : x
  2. Step 2: Convert to fraction form
    298.06/446.97 = 282.69/x
  3. Step 3: Cross multiply
    298.06x = 446.97 × 282.69
  4. Step 4: Simplify right side
    298.06x = 126,352.01
  5. Step 5: Solve for x
    x = 126,352.01/298.06
  6. Step 6: Final answer
    x = 423.91

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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.