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Finding the Fourth Proportional to 422.14, 582.58 and 235.63

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Solution

The fourth proportional to 422.14, 582.58 and 235.63 is: 325.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.14 : 582.58 = 235.63 : x
  2. Step 2: Convert to fraction form
    422.14/582.58 = 235.63/x
  3. Step 3: Cross multiply
    422.14x = 582.58 × 235.63
  4. Step 4: Simplify right side
    422.14x = 137,269.23
  5. Step 5: Solve for x
    x = 137,269.23/422.14
  6. Step 6: Final answer
    x = 325.18

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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.