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Finding the Fourth Proportional to 419.94, 579.51 and 272.85

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Solution

The fourth proportional to 419.94, 579.51 and 272.85 is: 376.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.94 : 579.51 = 272.85 : x
  2. Step 2: Convert to fraction form
    419.94/579.51 = 272.85/x
  3. Step 3: Cross multiply
    419.94x = 579.51 × 272.85
  4. Step 4: Simplify right side
    419.94x = 158,119.30
  5. Step 5: Solve for x
    x = 158,119.30/419.94
  6. Step 6: Final answer
    x = 376.53

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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.