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Finding the Fourth Proportional to 497.99, 746.96 and 201.63

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Solution

The fourth proportional to 497.99, 746.96 and 201.63 is: 302.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.99 : 746.96 = 201.63 : x
  2. Step 2: Convert to fraction form
    497.99/746.96 = 201.63/x
  3. Step 3: Cross multiply
    497.99x = 746.96 × 201.63
  4. Step 4: Simplify right side
    497.99x = 150,609.54
  5. Step 5: Solve for x
    x = 150,609.54/497.99
  6. Step 6: Final answer
    x = 302.43

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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.