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Finding the Fourth Proportional to 414.28, 571.86 and 256.94

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Solution

The fourth proportional to 414.28, 571.86 and 256.94 is: 354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.28 : 571.86 = 256.94 : x
  2. Step 2: Convert to fraction form
    414.28/571.86 = 256.94/x
  3. Step 3: Cross multiply
    414.28x = 571.86 × 256.94
  4. Step 4: Simplify right side
    414.28x = 146,933.71
  5. Step 5: Solve for x
    x = 146,933.71/414.28
  6. Step 6: Final answer
    x = 354.67

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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.