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Finding the Fourth Proportional to 496.74, 745.14 and 208.20

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Solution

The fourth proportional to 496.74, 745.14 and 208.20 is: 312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.74 : 745.14 = 208.20 : x
  2. Step 2: Convert to fraction form
    496.74/745.14 = 208.20/x
  3. Step 3: Cross multiply
    496.74x = 745.14 × 208.20
  4. Step 4: Simplify right side
    496.74x = 155,138.15
  5. Step 5: Solve for x
    x = 155,138.15/496.74
  6. Step 6: Final answer
    x = 312.31

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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.