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Finding the Fourth Proportional to 819.23, 1,228.46 and 298.86

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Solution

The fourth proportional to 819.23, 1,228.46 and 298.86 is: 448.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.23 : 1,228.46 = 298.86 : x
  2. Step 2: Convert to fraction form
    819.23/1,228.46 = 298.86/x
  3. Step 3: Cross multiply
    819.23x = 1,228.46 × 298.86
  4. Step 4: Simplify right side
    819.23x = 367,141.79
  5. Step 5: Solve for x
    x = 367,141.79/819.23
  6. Step 6: Final answer
    x = 448.16

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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.