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Finding the Fourth Proportional to 314.23, 471.24 and 211.56

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Solution

The fourth proportional to 314.23, 471.24 and 211.56 is: 317.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.23 : 471.24 = 211.56 : x
  2. Step 2: Convert to fraction form
    314.23/471.24 = 211.56/x
  3. Step 3: Cross multiply
    314.23x = 471.24 × 211.56
  4. Step 4: Simplify right side
    314.23x = 99,695.53
  5. Step 5: Solve for x
    x = 99,695.53/314.23
  6. Step 6: Final answer
    x = 317.27

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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.