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Finding the Fourth Proportional to 422.42, 582.89 and 235.89

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Solution

The fourth proportional to 422.42, 582.89 and 235.89 is: 325.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.42 : 582.89 = 235.89 : x
  2. Step 2: Convert to fraction form
    422.42/582.89 = 235.89/x
  3. Step 3: Cross multiply
    422.42x = 582.89 × 235.89
  4. Step 4: Simplify right side
    422.42x = 137,496.74
  5. Step 5: Solve for x
    x = 137,496.74/422.42
  6. Step 6: Final answer
    x = 325.50

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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.