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Finding the Fourth Proportional to 422.01, 582.39 and 256.25

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Solution

The fourth proportional to 422.01, 582.39 and 256.25 is: 353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.01 : 582.39 = 256.25 : x
  2. Step 2: Convert to fraction form
    422.01/582.39 = 256.25/x
  3. Step 3: Cross multiply
    422.01x = 582.39 × 256.25
  4. Step 4: Simplify right side
    422.01x = 149,238.89
  5. Step 5: Solve for x
    x = 149,238.89/422.01
  6. Step 6: Final answer
    x = 353.64

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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.