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Finding the Fourth Proportional to 516.69, 712.86 and 292.59

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Solution

The fourth proportional to 516.69, 712.86 and 292.59 is: 403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.69 : 712.86 = 292.59 : x
  2. Step 2: Convert to fraction form
    516.69/712.86 = 292.59/x
  3. Step 3: Cross multiply
    516.69x = 712.86 × 292.59
  4. Step 4: Simplify right side
    516.69x = 208,575.71
  5. Step 5: Solve for x
    x = 208,575.71/516.69
  6. Step 6: Final answer
    x = 403.68

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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.