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Finding the Fourth Proportional to 516.38, 712.65 and 295.29

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Solution

The fourth proportional to 516.38, 712.65 and 295.29 is: 407.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.38 : 712.65 = 295.29 : x
  2. Step 2: Convert to fraction form
    516.38/712.65 = 295.29/x
  3. Step 3: Cross multiply
    516.38x = 712.65 × 295.29
  4. Step 4: Simplify right side
    516.38x = 210,437.36
  5. Step 5: Solve for x
    x = 210,437.36/516.38
  6. Step 6: Final answer
    x = 407.52

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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.