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Finding the Fourth Proportional to 513.57, 770.60 and 239.62

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Solution

The fourth proportional to 513.57, 770.60 and 239.62 is: 359.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.57 : 770.60 = 239.62 : x
  2. Step 2: Convert to fraction form
    513.57/770.60 = 239.62/x
  3. Step 3: Cross multiply
    513.57x = 770.60 × 239.62
  4. Step 4: Simplify right side
    513.57x = 184,649.84
  5. Step 5: Solve for x
    x = 184,649.84/513.57
  6. Step 6: Final answer
    x = 359.54

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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.