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Finding the Fourth Proportional to 455.23, 682.30 and 211.24

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Solution

The fourth proportional to 455.23, 682.30 and 211.24 is: 316.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.23 : 682.30 = 211.24 : x
  2. Step 2: Convert to fraction form
    455.23/682.30 = 211.24/x
  3. Step 3: Cross multiply
    455.23x = 682.30 × 211.24
  4. Step 4: Simplify right side
    455.23x = 144,129.05
  5. Step 5: Solve for x
    x = 144,129.05/455.23
  6. Step 6: Final answer
    x = 316.61

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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.