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Finding the Fourth Proportional to 414.41, 571.42 and 266.84

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Solution

The fourth proportional to 414.41, 571.42 and 266.84 is: 367.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.41 : 571.42 = 266.84 : x
  2. Step 2: Convert to fraction form
    414.41/571.42 = 266.84/x
  3. Step 3: Cross multiply
    414.41x = 571.42 × 266.84
  4. Step 4: Simplify right side
    414.41x = 152,477.71
  5. Step 5: Solve for x
    x = 152,477.71/414.41
  6. Step 6: Final answer
    x = 367.94

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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.