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Finding the Fourth Proportional to 414.62, 571.79 and 272.77

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Solution

The fourth proportional to 414.62, 571.79 and 272.77 is: 376.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.62 : 571.79 = 272.77 : x
  2. Step 2: Convert to fraction form
    414.62/571.79 = 272.77/x
  3. Step 3: Cross multiply
    414.62x = 571.79 × 272.77
  4. Step 4: Simplify right side
    414.62x = 155,966.41
  5. Step 5: Solve for x
    x = 155,966.41/414.62
  6. Step 6: Final answer
    x = 376.17

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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.