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Finding the Fourth Proportional to 497.94, 746.96 and 205.38

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Solution

The fourth proportional to 497.94, 746.96 and 205.38 is: 308.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.94 : 746.96 = 205.38 : x
  2. Step 2: Convert to fraction form
    497.94/746.96 = 205.38/x
  3. Step 3: Cross multiply
    497.94x = 746.96 × 205.38
  4. Step 4: Simplify right side
    497.94x = 153,409.62
  5. Step 5: Solve for x
    x = 153,409.62/497.94
  6. Step 6: Final answer
    x = 308.09

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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.