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Finding the Fourth Proportional to 422.24, 582.86 and 256.50

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Solution

The fourth proportional to 422.24, 582.86 and 256.50 is: 354.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.24 : 582.86 = 256.50 : x
  2. Step 2: Convert to fraction form
    422.24/582.86 = 256.50/x
  3. Step 3: Cross multiply
    422.24x = 582.86 × 256.50
  4. Step 4: Simplify right side
    422.24x = 149,504.23
  5. Step 5: Solve for x
    x = 149,504.23/422.24
  6. Step 6: Final answer
    x = 354.08

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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.