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Finding the Fourth Proportional to 516.29, 712.49 and 295.23

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Solution

The fourth proportional to 516.29, 712.49 and 295.23 is: 407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.29 : 712.49 = 295.23 : x
  2. Step 2: Convert to fraction form
    516.29/712.49 = 295.23/x
  3. Step 3: Cross multiply
    516.29x = 712.49 × 295.23
  4. Step 4: Simplify right side
    516.29x = 210,346.95
  5. Step 5: Solve for x
    x = 210,346.95/516.29
  6. Step 6: Final answer
    x = 407.42

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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.