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Finding the Fourth Proportional to 516.29, 712.94 and 385.07

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Solution

The fourth proportional to 516.29, 712.94 and 385.07 is: 531.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.29 : 712.94 = 385.07 : x
  2. Step 2: Convert to fraction form
    516.29/712.94 = 385.07/x
  3. Step 3: Cross multiply
    516.29x = 712.94 × 385.07
  4. Step 4: Simplify right side
    516.29x = 274,526.32
  5. Step 5: Solve for x
    x = 274,526.32/516.29
  6. Step 6: Final answer
    x = 531.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.