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Finding the Fourth Proportional to 456.12, 682.44 and 302.42

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Solution

The fourth proportional to 456.12, 682.44 and 302.42 is: 452.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.12 : 682.44 = 302.42 : x
  2. Step 2: Convert to fraction form
    456.12/682.44 = 302.42/x
  3. Step 3: Cross multiply
    456.12x = 682.44 × 302.42
  4. Step 4: Simplify right side
    456.12x = 206,380.09
  5. Step 5: Solve for x
    x = 206,380.09/456.12
  6. Step 6: Final answer
    x = 452.47

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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.