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Finding the Fourth Proportional to 498.05, 746.15 and 250.97

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Solution

The fourth proportional to 498.05, 746.15 and 250.97 is: 375.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.05 : 746.15 = 250.97 : x
  2. Step 2: Convert to fraction form
    498.05/746.15 = 250.97/x
  3. Step 3: Cross multiply
    498.05x = 746.15 × 250.97
  4. Step 4: Simplify right side
    498.05x = 187,258.16
  5. Step 5: Solve for x
    x = 187,258.16/498.05
  6. Step 6: Final answer
    x = 375.98

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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.