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Finding the Fourth Proportional to 497.98, 746.52 and 209.44

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Solution

The fourth proportional to 497.98, 746.52 and 209.44 is: 313.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.98 : 746.52 = 209.44 : x
  2. Step 2: Convert to fraction form
    497.98/746.52 = 209.44/x
  3. Step 3: Cross multiply
    497.98x = 746.52 × 209.44
  4. Step 4: Simplify right side
    497.98x = 156,351.15
  5. Step 5: Solve for x
    x = 156,351.15/497.98
  6. Step 6: Final answer
    x = 313.97

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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.