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Finding the Fourth Proportional to 414.08, 571.32 and 256.71

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Solution

The fourth proportional to 414.08, 571.32 and 256.71 is: 354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.08 : 571.32 = 256.71 : x
  2. Step 2: Convert to fraction form
    414.08/571.32 = 256.71/x
  3. Step 3: Cross multiply
    414.08x = 571.32 × 256.71
  4. Step 4: Simplify right side
    414.08x = 146,663.56
  5. Step 5: Solve for x
    x = 146,663.56/414.08
  6. Step 6: Final answer
    x = 354.20

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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.