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Finding the Fourth Proportional to 414.89, 571.72 and 296.66

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Solution

The fourth proportional to 414.89, 571.72 and 296.66 is: 408.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.89 : 571.72 = 296.66 : x
  2. Step 2: Convert to fraction form
    414.89/571.72 = 296.66/x
  3. Step 3: Cross multiply
    414.89x = 571.72 × 296.66
  4. Step 4: Simplify right side
    414.89x = 169,602.85
  5. Step 5: Solve for x
    x = 169,602.85/414.89
  6. Step 6: Final answer
    x = 408.79

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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.