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Finding the Fourth Proportional to 415.24, 623.15 and 171.80

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Solution

The fourth proportional to 415.24, 623.15 and 171.80 is: 257.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.24 : 623.15 = 171.80 : x
  2. Step 2: Convert to fraction form
    415.24/623.15 = 171.80/x
  3. Step 3: Cross multiply
    415.24x = 623.15 × 171.80
  4. Step 4: Simplify right side
    415.24x = 107,057.17
  5. Step 5: Solve for x
    x = 107,057.17/415.24
  6. Step 6: Final answer
    x = 257.82

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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.