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Finding the Fourth Proportional to 512.86, 707.66 and 291.78

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Solution

The fourth proportional to 512.86, 707.66 and 291.78 is: 402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.86 : 707.66 = 291.78 : x
  2. Step 2: Convert to fraction form
    512.86/707.66 = 291.78/x
  3. Step 3: Cross multiply
    512.86x = 707.66 × 291.78
  4. Step 4: Simplify right side
    512.86x = 206,481.03
  5. Step 5: Solve for x
    x = 206,481.03/512.86
  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.