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Finding the Fourth Proportional to 818.38, 1,228.10 and 305.38

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Solution

The fourth proportional to 818.38, 1,228.10 and 305.38 is: 458.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.38 : 1,228.10 = 305.38 : x
  2. Step 2: Convert to fraction form
    818.38/1,228.10 = 305.38/x
  3. Step 3: Cross multiply
    818.38x = 1,228.10 × 305.38
  4. Step 4: Simplify right side
    818.38x = 375,037.18
  5. Step 5: Solve for x
    x = 375,037.18/818.38
  6. Step 6: Final answer
    x = 458.27

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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.