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Finding the Fourth Proportional to 414.21, 571.83 and 256.89

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Solution

The fourth proportional to 414.21, 571.83 and 256.89 is: 354.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.21 : 571.83 = 256.89 : x
  2. Step 2: Convert to fraction form
    414.21/571.83 = 256.89/x
  3. Step 3: Cross multiply
    414.21x = 571.83 × 256.89
  4. Step 4: Simplify right side
    414.21x = 146,897.41
  5. Step 5: Solve for x
    x = 146,897.41/414.21
  6. Step 6: Final answer
    x = 354.64

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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.