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Finding the Fourth Proportional to 498.12, 746.92 and 293.09

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Solution

The fourth proportional to 498.12, 746.92 and 293.09 is: 439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.12 : 746.92 = 293.09 : x
  2. Step 2: Convert to fraction form
    498.12/746.92 = 293.09/x
  3. Step 3: Cross multiply
    498.12x = 746.92 × 293.09
  4. Step 4: Simplify right side
    498.12x = 218,914.78
  5. Step 5: Solve for x
    x = 218,914.78/498.12
  6. Step 6: Final answer
    x = 439.48

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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.