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Finding the Fourth Proportional to 496.59, 745.13 and 204.31

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Solution

The fourth proportional to 496.59, 745.13 and 204.31 is: 306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.59 : 745.13 = 204.31 : x
  2. Step 2: Convert to fraction form
    496.59/745.13 = 204.31/x
  3. Step 3: Cross multiply
    496.59x = 745.13 × 204.31
  4. Step 4: Simplify right side
    496.59x = 152,233.69
  5. Step 5: Solve for x
    x = 152,233.69/496.59
  6. Step 6: Final answer
    x = 306.56

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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.