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Finding the Fourth Proportional to 471.92, 707.19 and 208.05

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Solution

The fourth proportional to 471.92, 707.19 and 208.05 is: 311.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.92 : 707.19 = 208.05 : x
  2. Step 2: Convert to fraction form
    471.92/707.19 = 208.05/x
  3. Step 3: Cross multiply
    471.92x = 707.19 × 208.05
  4. Step 4: Simplify right side
    471.92x = 147,132.89
  5. Step 5: Solve for x
    x = 147,132.89/471.92
  6. Step 6: Final answer
    x = 311.78

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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.