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Finding the Fourth Proportional to 496.76, 745.12 and 208.22

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Solution

The fourth proportional to 496.76, 745.12 and 208.22 is: 312.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.76 : 745.12 = 208.22 : x
  2. Step 2: Convert to fraction form
    496.76/745.12 = 208.22/x
  3. Step 3: Cross multiply
    496.76x = 745.12 × 208.22
  4. Step 4: Simplify right side
    496.76x = 155,148.89
  5. Step 5: Solve for x
    x = 155,148.89/496.76
  6. Step 6: Final answer
    x = 312.32

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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.