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Finding the Fourth Proportional to 471, 706.74 and 211.08

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Solution

The fourth proportional to 471, 706.74 and 211.08 is: 316.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    471 : 706.74 = 211.08 : x
  2. Step 2: Convert to fraction form
    471/706.74 = 211.08/x
  3. Step 3: Cross multiply
    471x = 706.74 × 211.08
  4. Step 4: Simplify right side
    471x = 149,178.68
  5. Step 5: Solve for x
    x = 149,178.68/471
  6. Step 6: Final answer
    x = 316.73

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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.