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Finding the Fourth Proportional to 512.17, 767.76 and 268.63

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Solution

The fourth proportional to 512.17, 767.76 and 268.63 is: 402.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.17 : 767.76 = 268.63 : x
  2. Step 2: Convert to fraction form
    512.17/767.76 = 268.63/x
  3. Step 3: Cross multiply
    512.17x = 767.76 × 268.63
  4. Step 4: Simplify right side
    512.17x = 206,243.37
  5. Step 5: Solve for x
    x = 206,243.37/512.17
  6. Step 6: Final answer
    x = 402.69

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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.