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Finding the Fourth Proportional to 415.87, 624.09 and 172.40

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Solution

The fourth proportional to 415.87, 624.09 and 172.40 is: 258.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.87 : 624.09 = 172.40 : x
  2. Step 2: Convert to fraction form
    415.87/624.09 = 172.40/x
  3. Step 3: Cross multiply
    415.87x = 624.09 × 172.40
  4. Step 4: Simplify right side
    415.87x = 107,593.12
  5. Step 5: Solve for x
    x = 107,593.12/415.87
  6. Step 6: Final answer
    x = 258.72

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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.