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Finding the Fourth Proportional to 422.49, 582.64 and 274.87

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Solution

The fourth proportional to 422.49, 582.64 and 274.87 is: 379.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.49 : 582.64 = 274.87 : x
  2. Step 2: Convert to fraction form
    422.49/582.64 = 274.87/x
  3. Step 3: Cross multiply
    422.49x = 582.64 × 274.87
  4. Step 4: Simplify right side
    422.49x = 160,150.26
  5. Step 5: Solve for x
    x = 160,150.26/422.49
  6. Step 6: Final answer
    x = 379.06

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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.