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Finding the Fourth Proportional to 414.29, 571.71 and 266.92

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Solution

The fourth proportional to 414.29, 571.71 and 266.92 is: 368.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.29 : 571.71 = 266.92 : x
  2. Step 2: Convert to fraction form
    414.29/571.71 = 266.92/x
  3. Step 3: Cross multiply
    414.29x = 571.71 × 266.92
  4. Step 4: Simplify right side
    414.29x = 152,600.83
  5. Step 5: Solve for x
    x = 152,600.83/414.29
  6. Step 6: Final answer
    x = 368.34

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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.