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Finding the Fourth Proportional to 454.74, 682.34 and 211.44

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Solution

The fourth proportional to 454.74, 682.34 and 211.44 is: 317.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.74 : 682.34 = 211.44 : x
  2. Step 2: Convert to fraction form
    454.74/682.34 = 211.44/x
  3. Step 3: Cross multiply
    454.74x = 682.34 × 211.44
  4. Step 4: Simplify right side
    454.74x = 144,270.03
  5. Step 5: Solve for x
    x = 144,270.03/454.74
  6. Step 6: Final answer
    x = 317.26

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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.