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Finding the Fourth Proportional to 496.96, 745.54 and 208.42

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Solution

The fourth proportional to 496.96, 745.54 and 208.42 is: 312.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.96 : 745.54 = 208.42 : x
  2. Step 2: Convert to fraction form
    496.96/745.54 = 208.42/x
  3. Step 3: Cross multiply
    496.96x = 745.54 × 208.42
  4. Step 4: Simplify right side
    496.96x = 155,385.45
  5. Step 5: Solve for x
    x = 155,385.45/496.96
  6. Step 6: Final answer
    x = 312.67

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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.