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Finding the Fourth Proportional to 531.29, 796.01 and 512.15

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Solution

The fourth proportional to 531.29, 796.01 and 512.15 is: 767.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.29 : 796.01 = 512.15 : x
  2. Step 2: Convert to fraction form
    531.29/796.01 = 512.15/x
  3. Step 3: Cross multiply
    531.29x = 796.01 × 512.15
  4. Step 4: Simplify right side
    531.29x = 407,669.98
  5. Step 5: Solve for x
    x = 407,669.98/531.29
  6. Step 6: Final answer
    x = 767.33

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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.