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Finding the Fourth Proportional to 420.21, 579.96 and 254.44

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Solution

The fourth proportional to 420.21, 579.96 and 254.44 is: 351.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.21 : 579.96 = 254.44 : x
  2. Step 2: Convert to fraction form
    420.21/579.96 = 254.44/x
  3. Step 3: Cross multiply
    420.21x = 579.96 × 254.44
  4. Step 4: Simplify right side
    420.21x = 147,565.02
  5. Step 5: Solve for x
    x = 147,565.02/420.21
  6. Step 6: Final answer
    x = 351.17

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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.