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Finding the Fourth Proportional to 995.38, 1,493.22 and 301.96

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Solution

The fourth proportional to 995.38, 1,493.22 and 301.96 is: 452.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.38 : 1,493.22 = 301.96 : x
  2. Step 2: Convert to fraction form
    995.38/1,493.22 = 301.96/x
  3. Step 3: Cross multiply
    995.38x = 1,493.22 × 301.96
  4. Step 4: Simplify right side
    995.38x = 450,892.71
  5. Step 5: Solve for x
    x = 450,892.71/995.38
  6. Step 6: Final answer
    x = 452.99

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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.