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Finding the Fourth Proportional to 818.67, 1,228.11 and 298.92

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Solution

The fourth proportional to 818.67, 1,228.11 and 298.92 is: 448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.67 : 1,228.11 = 298.92 : x
  2. Step 2: Convert to fraction form
    818.67/1,228.11 = 298.92/x
  3. Step 3: Cross multiply
    818.67x = 1,228.11 × 298.92
  4. Step 4: Simplify right side
    818.67x = 367,106.64
  5. Step 5: Solve for x
    x = 367,106.64/818.67
  6. Step 6: Final answer
    x = 448.42

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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.