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Finding the Fourth Proportional to 314.82, 471.90 and 211.86

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Solution

The fourth proportional to 314.82, 471.90 and 211.86 is: 317.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.82 : 471.90 = 211.86 : x
  2. Step 2: Convert to fraction form
    314.82/471.90 = 211.86/x
  3. Step 3: Cross multiply
    314.82x = 471.90 × 211.86
  4. Step 4: Simplify right side
    314.82x = 99,976.73
  5. Step 5: Solve for x
    x = 99,976.73/314.82
  6. Step 6: Final answer
    x = 317.57

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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.