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Finding the Fourth Proportional to 516.70, 713.00 and 295.61

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Solution

The fourth proportional to 516.70, 713.00 and 295.61 is: 407.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.70 : 713.00 = 295.61 : x
  2. Step 2: Convert to fraction form
    516.70/713.00 = 295.61/x
  3. Step 3: Cross multiply
    516.70x = 713.00 × 295.61
  4. Step 4: Simplify right side
    516.70x = 210,768.45
  5. Step 5: Solve for x
    x = 210,768.45/516.70
  6. Step 6: Final answer
    x = 407.92

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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.