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Finding the Fourth Proportional to 419.10, 578.17 and 271.79

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Solution

The fourth proportional to 419.10, 578.17 and 271.79 is: 374.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.10 : 578.17 = 271.79 : x
  2. Step 2: Convert to fraction form
    419.10/578.17 = 271.79/x
  3. Step 3: Cross multiply
    419.10x = 578.17 × 271.79
  4. Step 4: Simplify right side
    419.10x = 157,140.82
  5. Step 5: Solve for x
    x = 157,140.82/419.10
  6. Step 6: Final answer
    x = 374.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.