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Finding the Fourth Proportional to 422.37, 582.81 and 235.86

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Solution

The fourth proportional to 422.37, 582.81 and 235.86 is: 325.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.37 : 582.81 = 235.86 : x
  2. Step 2: Convert to fraction form
    422.37/582.81 = 235.86/x
  3. Step 3: Cross multiply
    422.37x = 582.81 × 235.86
  4. Step 4: Simplify right side
    422.37x = 137,461.57
  5. Step 5: Solve for x
    x = 137,461.57/422.37
  6. Step 6: Final answer
    x = 325.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.