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Finding the Fourth Proportional to 422.42, 582.94 and 235.93

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Solution

The fourth proportional to 422.42, 582.94 and 235.93 is: 325.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.42 : 582.94 = 235.93 : x
  2. Step 2: Convert to fraction form
    422.42/582.94 = 235.93/x
  3. Step 3: Cross multiply
    422.42x = 582.94 × 235.93
  4. Step 4: Simplify right side
    422.42x = 137,533.03
  5. Step 5: Solve for x
    x = 137,533.03/422.42
  6. Step 6: Final answer
    x = 325.58

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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.