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Finding the Fourth Proportional to 516.73, 713.06 and 292.66

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Solution

The fourth proportional to 516.73, 713.06 and 292.66 is: 403.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.73 : 713.06 = 292.66 : x
  2. Step 2: Convert to fraction form
    516.73/713.06 = 292.66/x
  3. Step 3: Cross multiply
    516.73x = 713.06 × 292.66
  4. Step 4: Simplify right side
    516.73x = 208,679.11
  5. Step 5: Solve for x
    x = 208,679.11/516.73
  6. Step 6: Final answer
    x = 403.85

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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.