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Finding the Fourth Proportional to 513.22, 769.48 and 239.16

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Solution

The fourth proportional to 513.22, 769.48 and 239.16 is: 358.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.22 : 769.48 = 239.16 : x
  2. Step 2: Convert to fraction form
    513.22/769.48 = 239.16/x
  3. Step 3: Cross multiply
    513.22x = 769.48 × 239.16
  4. Step 4: Simplify right side
    513.22x = 184,028.84
  5. Step 5: Solve for x
    x = 184,028.84/513.22
  6. Step 6: Final answer
    x = 358.58

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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.