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Finding the Fourth Proportional to 512.40, 768.57 and 384.06

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Solution

The fourth proportional to 512.40, 768.57 and 384.06 is: 576.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.40 : 768.57 = 384.06 : x
  2. Step 2: Convert to fraction form
    512.40/768.57 = 384.06/x
  3. Step 3: Cross multiply
    512.40x = 768.57 × 384.06
  4. Step 4: Simplify right side
    512.40x = 295,176.99
  5. Step 5: Solve for x
    x = 295,176.99/512.40
  6. Step 6: Final answer
    x = 576.07

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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.