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Finding the Fourth Proportional to 994.39, 1,491.62 and 301.15

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Solution

The fourth proportional to 994.39, 1,491.62 and 301.15 is: 451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.39 : 1,491.62 = 301.15 : x
  2. Step 2: Convert to fraction form
    994.39/1,491.62 = 301.15/x
  3. Step 3: Cross multiply
    994.39x = 1,491.62 × 301.15
  4. Step 4: Simplify right side
    994.39x = 449,205.84
  5. Step 5: Solve for x
    x = 449,205.84/994.39
  6. Step 6: Final answer
    x = 451.74

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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.