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Finding the Fourth Proportional to 454.66, 682.05 and 211.24

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Solution

The fourth proportional to 454.66, 682.05 and 211.24 is: 316.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.66 : 682.05 = 211.24 : x
  2. Step 2: Convert to fraction form
    454.66/682.05 = 211.24/x
  3. Step 3: Cross multiply
    454.66x = 682.05 × 211.24
  4. Step 4: Simplify right side
    454.66x = 144,076.24
  5. Step 5: Solve for x
    x = 144,076.24/454.66
  6. Step 6: Final answer
    x = 316.89

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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.