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Finding the Fourth Proportional to 419.22, 579.29 and 336.20

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Solution

The fourth proportional to 419.22, 579.29 and 336.20 is: 464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.22 : 579.29 = 336.20 : x
  2. Step 2: Convert to fraction form
    419.22/579.29 = 336.20/x
  3. Step 3: Cross multiply
    419.22x = 579.29 × 336.20
  4. Step 4: Simplify right side
    419.22x = 194,752.72
  5. Step 5: Solve for x
    x = 194,752.72/419.22
  6. Step 6: Final answer
    x = 464.56

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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.