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Finding the Fourth Proportional to 422.57, 582.99 and 256.79

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Solution

The fourth proportional to 422.57, 582.99 and 256.79 is: 354.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.57 : 582.99 = 256.79 : x
  2. Step 2: Convert to fraction form
    422.57/582.99 = 256.79/x
  3. Step 3: Cross multiply
    422.57x = 582.99 × 256.79
  4. Step 4: Simplify right side
    422.57x = 149,703.09
  5. Step 5: Solve for x
    x = 149,703.09/422.57
  6. Step 6: Final answer
    x = 354.27

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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.