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Finding the Fourth Proportional to 415.97, 624.00 and 172.36

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Solution

The fourth proportional to 415.97, 624.00 and 172.36 is: 258.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.97 : 624.00 = 172.36 : x
  2. Step 2: Convert to fraction form
    415.97/624.00 = 172.36/x
  3. Step 3: Cross multiply
    415.97x = 624.00 × 172.36
  4. Step 4: Simplify right side
    415.97x = 107,554.07
  5. Step 5: Solve for x
    x = 107,554.07/415.97
  6. Step 6: Final answer
    x = 258.56

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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.