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Finding the Fourth Proportional to 419.22, 578.20 and 308.93

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Solution

The fourth proportional to 419.22, 578.20 and 308.93 is: 426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.22 : 578.20 = 308.93 : x
  2. Step 2: Convert to fraction form
    419.22/578.20 = 308.93/x
  3. Step 3: Cross multiply
    419.22x = 578.20 × 308.93
  4. Step 4: Simplify right side
    419.22x = 178,623.33
  5. Step 5: Solve for x
    x = 178,623.33/419.22
  6. Step 6: Final answer
    x = 426.08

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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.