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Finding the Fourth Proportional to 455.72, 682.94 and 212.12

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Solution

The fourth proportional to 455.72, 682.94 and 212.12 is: 317.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.72 : 682.94 = 212.12 : x
  2. Step 2: Convert to fraction form
    455.72/682.94 = 212.12/x
  3. Step 3: Cross multiply
    455.72x = 682.94 × 212.12
  4. Step 4: Simplify right side
    455.72x = 144,865.23
  5. Step 5: Solve for x
    x = 144,865.23/455.72
  6. Step 6: Final answer
    x = 317.88

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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.