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Finding the Fourth Proportional to 414.07, 571.43 and 256.79

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Solution

The fourth proportional to 414.07, 571.43 and 256.79 is: 354.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.07 : 571.43 = 256.79 : x
  2. Step 2: Convert to fraction form
    414.07/571.43 = 256.79/x
  3. Step 3: Cross multiply
    414.07x = 571.43 × 256.79
  4. Step 4: Simplify right side
    414.07x = 146,735.29
  5. Step 5: Solve for x
    x = 146,735.29/414.07
  6. Step 6: Final answer
    x = 354.38

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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.