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Finding the Fourth Proportional to 415.96, 574.11 and 250.27

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Solution

The fourth proportional to 415.96, 574.11 and 250.27 is: 345.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.96 : 574.11 = 250.27 : x
  2. Step 2: Convert to fraction form
    415.96/574.11 = 250.27/x
  3. Step 3: Cross multiply
    415.96x = 574.11 × 250.27
  4. Step 4: Simplify right side
    415.96x = 143,682.51
  5. Step 5: Solve for x
    x = 143,682.51/415.96
  6. Step 6: Final answer
    x = 345.42

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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.