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Finding the Fourth Proportional to 422.21, 628.58 and 420.19

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Solution

The fourth proportional to 422.21, 628.58 and 420.19 is: 625.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.21 : 628.58 = 420.19 : x
  2. Step 2: Convert to fraction form
    422.21/628.58 = 420.19/x
  3. Step 3: Cross multiply
    422.21x = 628.58 × 420.19
  4. Step 4: Simplify right side
    422.21x = 264,122.51
  5. Step 5: Solve for x
    x = 264,122.51/422.21
  6. Step 6: Final answer
    x = 625.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.