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Finding the Fourth Proportional to 516.06, 712.21 and 294.97

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Solution

The fourth proportional to 516.06, 712.21 and 294.97 is: 407.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.06 : 712.21 = 294.97 : x
  2. Step 2: Convert to fraction form
    516.06/712.21 = 294.97/x
  3. Step 3: Cross multiply
    516.06x = 712.21 × 294.97
  4. Step 4: Simplify right side
    516.06x = 210,077.73
  5. Step 5: Solve for x
    x = 210,077.73/516.06
  6. Step 6: Final answer
    x = 407.08

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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.