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Finding the Fourth Proportional to 422.12, 582.32 and 256.34

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Solution

The fourth proportional to 422.12, 582.32 and 256.34 is: 353.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.12 : 582.32 = 256.34 : x
  2. Step 2: Convert to fraction form
    422.12/582.32 = 256.34/x
  3. Step 3: Cross multiply
    422.12x = 582.32 × 256.34
  4. Step 4: Simplify right side
    422.12x = 149,271.91
  5. Step 5: Solve for x
    x = 149,271.91/422.12
  6. Step 6: Final answer
    x = 353.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.