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Finding the Fourth Proportional to 516.86, 713.06 and 295.70

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Solution

The fourth proportional to 516.86, 713.06 and 295.70 is: 407.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.86 : 713.06 = 295.70 : x
  2. Step 2: Convert to fraction form
    516.86/713.06 = 295.70/x
  3. Step 3: Cross multiply
    516.86x = 713.06 × 295.70
  4. Step 4: Simplify right side
    516.86x = 210,849.02
  5. Step 5: Solve for x
    x = 210,849.02/516.86
  6. Step 6: Final answer
    x = 407.94

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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.