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Finding the Fourth Proportional to 415.67, 623.58 and 172.37

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Solution

The fourth proportional to 415.67, 623.58 and 172.37 is: 258.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.67 : 623.58 = 172.37 : x
  2. Step 2: Convert to fraction form
    415.67/623.58 = 172.37/x
  3. Step 3: Cross multiply
    415.67x = 623.58 × 172.37
  4. Step 4: Simplify right side
    415.67x = 107,486.48
  5. Step 5: Solve for x
    x = 107,486.48/415.67
  6. Step 6: Final answer
    x = 258.59

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