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Finding the Fourth Proportional to 995.27, 1,493.44 and 410.18

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Solution

The fourth proportional to 995.27, 1,493.44 and 410.18 is: 615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.27 : 1,493.44 = 410.18 : x
  2. Step 2: Convert to fraction form
    995.27/1,493.44 = 410.18/x
  3. Step 3: Cross multiply
    995.27x = 1,493.44 × 410.18
  4. Step 4: Simplify right side
    995.27x = 612,570.73
  5. Step 5: Solve for x
    x = 612,570.73/995.27
  6. Step 6: Final answer
    x = 615.49

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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.