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Finding the Fourth Proportional to 422.14, 582.50 and 256.30

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Solution

The fourth proportional to 422.14, 582.50 and 256.30 is: 353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.14 : 582.50 = 256.30 : x
  2. Step 2: Convert to fraction form
    422.14/582.50 = 256.30/x
  3. Step 3: Cross multiply
    422.14x = 582.50 × 256.30
  4. Step 4: Simplify right side
    422.14x = 149,294.75
  5. Step 5: Solve for x
    x = 149,294.75/422.14
  6. Step 6: Final answer
    x = 353.66

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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.