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Finding the Fourth Proportional to 512.02, 767.66 and 264.73

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Solution

The fourth proportional to 512.02, 767.66 and 264.73 is: 396.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.02 : 767.66 = 264.73 : x
  2. Step 2: Convert to fraction form
    512.02/767.66 = 264.73/x
  3. Step 3: Cross multiply
    512.02x = 767.66 × 264.73
  4. Step 4: Simplify right side
    512.02x = 203,222.63
  5. Step 5: Solve for x
    x = 203,222.63/512.02
  6. Step 6: Final answer
    x = 396.91

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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.