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Finding the Fourth Proportional to 422.48, 582.98 and 245.38

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Solution

The fourth proportional to 422.48, 582.98 and 245.38 is: 338.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.48 : 582.98 = 245.38 : x
  2. Step 2: Convert to fraction form
    422.48/582.98 = 245.38/x
  3. Step 3: Cross multiply
    422.48x = 582.98 × 245.38
  4. Step 4: Simplify right side
    422.48x = 143,051.63
  5. Step 5: Solve for x
    x = 143,051.63/422.48
  6. Step 6: Final answer
    x = 338.60

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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.