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Finding the Fourth Proportional to 516.72, 713.08 and 295.70

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Solution

The fourth proportional to 516.72, 713.08 and 295.70 is: 408.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.72 : 713.08 = 295.70 : x
  2. Step 2: Convert to fraction form
    516.72/713.08 = 295.70/x
  3. Step 3: Cross multiply
    516.72x = 713.08 × 295.70
  4. Step 4: Simplify right side
    516.72x = 210,857.76
  5. Step 5: Solve for x
    x = 210,857.76/516.72
  6. Step 6: Final answer
    x = 408.07

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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.