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Finding the Fourth Proportional to 516.28, 712.38 and 295.22

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Solution

The fourth proportional to 516.28, 712.38 and 295.22 is: 407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.28 : 712.38 = 295.22 : x
  2. Step 2: Convert to fraction form
    516.28/712.38 = 295.22/x
  3. Step 3: Cross multiply
    516.28x = 712.38 × 295.22
  4. Step 4: Simplify right side
    516.28x = 210,308.82
  5. Step 5: Solve for x
    x = 210,308.82/516.28
  6. Step 6: Final answer
    x = 407.35

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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.