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Finding the Fourth Proportional to 419.22, 579.15 and 357.75

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Solution

The fourth proportional to 419.22, 579.15 and 357.75 is: 494.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.22 : 579.15 = 357.75 : x
  2. Step 2: Convert to fraction form
    419.22/579.15 = 357.75/x
  3. Step 3: Cross multiply
    419.22x = 579.15 × 357.75
  4. Step 4: Simplify right side
    419.22x = 207,190.91
  5. Step 5: Solve for x
    x = 207,190.91/419.22
  6. Step 6: Final answer
    x = 494.23

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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.