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Finding the Fourth Proportional to 415.29, 622.95 and 171.82

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Solution

The fourth proportional to 415.29, 622.95 and 171.82 is: 257.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.29 : 622.95 = 171.82 : x
  2. Step 2: Convert to fraction form
    415.29/622.95 = 171.82/x
  3. Step 3: Cross multiply
    415.29x = 622.95 × 171.82
  4. Step 4: Simplify right side
    415.29x = 107,035.27
  5. Step 5: Solve for x
    x = 107,035.27/415.29
  6. Step 6: Final answer
    x = 257.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.