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Finding the Fourth Proportional to 496.82, 745.86 and 314.98

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Solution

The fourth proportional to 496.82, 745.86 and 314.98 is: 472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.82 : 745.86 = 314.98 : x
  2. Step 2: Convert to fraction form
    496.82/745.86 = 314.98/x
  3. Step 3: Cross multiply
    496.82x = 745.86 × 314.98
  4. Step 4: Simplify right side
    496.82x = 234,930.98
  5. Step 5: Solve for x
    x = 234,930.98/496.82
  6. Step 6: Final answer
    x = 472.87

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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.