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Finding the Fourth Proportional to 512.92, 707.62 and 291.83

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Solution

The fourth proportional to 512.92, 707.62 and 291.83 is: 402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.92 : 707.62 = 291.83 : x
  2. Step 2: Convert to fraction form
    512.92/707.62 = 291.83/x
  3. Step 3: Cross multiply
    512.92x = 707.62 × 291.83
  4. Step 4: Simplify right side
    512.92x = 206,504.25
  5. Step 5: Solve for x
    x = 206,504.25/512.92
  6. Step 6: Final answer
    x = 402.61

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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.