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Finding the Fourth Proportional to 414.42, 571.56 and 266.82

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Solution

The fourth proportional to 414.42, 571.56 and 266.82 is: 367.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.42 : 571.56 = 266.82 : x
  2. Step 2: Convert to fraction form
    414.42/571.56 = 266.82/x
  3. Step 3: Cross multiply
    414.42x = 571.56 × 266.82
  4. Step 4: Simplify right side
    414.42x = 152,503.64
  5. Step 5: Solve for x
    x = 152,503.64/414.42
  6. Step 6: Final answer
    x = 367.99

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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.