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Finding the Fourth Proportional to 422.41, 582.72 and 256.60

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Solution

The fourth proportional to 422.41, 582.72 and 256.60 is: 353.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.41 : 582.72 = 256.60 : x
  2. Step 2: Convert to fraction form
    422.41/582.72 = 256.60/x
  3. Step 3: Cross multiply
    422.41x = 582.72 × 256.60
  4. Step 4: Simplify right side
    422.41x = 149,525.95
  5. Step 5: Solve for x
    x = 149,525.95/422.41
  6. Step 6: Final answer
    x = 353.98

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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.