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Finding the Fourth Proportional to 512.65, 768.64 and 239.14

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Solution

The fourth proportional to 512.65, 768.64 and 239.14 is: 358.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.65 : 768.64 = 239.14 : x
  2. Step 2: Convert to fraction form
    512.65/768.64 = 239.14/x
  3. Step 3: Cross multiply
    512.65x = 768.64 × 239.14
  4. Step 4: Simplify right side
    512.65x = 183,812.57
  5. Step 5: Solve for x
    x = 183,812.57/512.65
  6. Step 6: Final answer
    x = 358.55

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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.