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Finding the Fourth Proportional to 419.56, 578.90 and 272.17

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Solution

The fourth proportional to 419.56, 578.90 and 272.17 is: 375.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.56 : 578.90 = 272.17 : x
  2. Step 2: Convert to fraction form
    419.56/578.90 = 272.17/x
  3. Step 3: Cross multiply
    419.56x = 578.90 × 272.17
  4. Step 4: Simplify right side
    419.56x = 157,559.21
  5. Step 5: Solve for x
    x = 157,559.21/419.56
  6. Step 6: Final answer
    x = 375.53

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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.