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Finding the Fourth Proportional to 516.13, 712.09 and 294.93

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Solution

The fourth proportional to 516.13, 712.09 and 294.93 is: 406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.13 : 712.09 = 294.93 : x
  2. Step 2: Convert to fraction form
    516.13/712.09 = 294.93/x
  3. Step 3: Cross multiply
    516.13x = 712.09 × 294.93
  4. Step 4: Simplify right side
    516.13x = 210,012.41
  5. Step 5: Solve for x
    x = 210,012.41/516.13
  6. Step 6: Final answer
    x = 406.90

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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.