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Finding the Fourth Proportional to 415.68, 622.96 and 172.07

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Solution

The fourth proportional to 415.68, 622.96 and 172.07 is: 257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.68 : 622.96 = 172.07 : x
  2. Step 2: Convert to fraction form
    415.68/622.96 = 172.07/x
  3. Step 3: Cross multiply
    415.68x = 622.96 × 172.07
  4. Step 4: Simplify right side
    415.68x = 107,191.52
  5. Step 5: Solve for x
    x = 107,191.52/415.68
  6. Step 6: Final answer
    x = 257.87

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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.