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Finding the Fourth Proportional to 514.60, 771.89 and 172.60

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Solution

The fourth proportional to 514.60, 771.89 and 172.60 is: 258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.60 : 771.89 = 172.60 : x
  2. Step 2: Convert to fraction form
    514.60/771.89 = 172.60/x
  3. Step 3: Cross multiply
    514.60x = 771.89 × 172.60
  4. Step 4: Simplify right side
    514.60x = 133,224.35
  5. Step 5: Solve for x
    x = 133,224.35/514.60
  6. Step 6: Final answer
    x = 258.89

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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.