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Finding the Fourth Proportional to 995.33, 1,493.22 and 346.07

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Solution

The fourth proportional to 995.33, 1,493.22 and 346.07 is: 519.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.33 : 1,493.22 = 346.07 : x
  2. Step 2: Convert to fraction form
    995.33/1,493.22 = 346.07/x
  3. Step 3: Cross multiply
    995.33x = 1,493.22 × 346.07
  4. Step 4: Simplify right side
    995.33x = 516,751.18
  5. Step 5: Solve for x
    x = 516,751.18/995.33
  6. Step 6: Final answer
    x = 519.18

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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.