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Finding the Fourth Proportional to 465.96, 641.61 and 422.01

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Solution

The fourth proportional to 465.96, 641.61 and 422.01 is: 581.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.96 : 641.61 = 422.01 : x
  2. Step 2: Convert to fraction form
    465.96/641.61 = 422.01/x
  3. Step 3: Cross multiply
    465.96x = 641.61 × 422.01
  4. Step 4: Simplify right side
    465.96x = 270,765.84
  5. Step 5: Solve for x
    x = 270,765.84/465.96
  6. Step 6: Final answer
    x = 581.09

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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.