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Finding the Fourth Proportional to 422.60, 581.27 and 347.37

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Solution

The fourth proportional to 422.60, 581.27 and 347.37 is: 477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.60 : 581.27 = 347.37 : x
  2. Step 2: Convert to fraction form
    422.60/581.27 = 347.37/x
  3. Step 3: Cross multiply
    422.60x = 581.27 × 347.37
  4. Step 4: Simplify right side
    422.60x = 201,914.02
  5. Step 5: Solve for x
    x = 201,914.02/422.60
  6. Step 6: Final answer
    x = 477.80

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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.