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Finding the Fourth Proportional to 512.38, 768.84 and 390.34

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Solution

The fourth proportional to 512.38, 768.84 and 390.34 is: 585.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.38 : 768.84 = 390.34 : x
  2. Step 2: Convert to fraction form
    512.38/768.84 = 390.34/x
  3. Step 3: Cross multiply
    512.38x = 768.84 × 390.34
  4. Step 4: Simplify right side
    512.38x = 300,109.01
  5. Step 5: Solve for x
    x = 300,109.01/512.38
  6. Step 6: Final answer
    x = 585.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.