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Finding the Fourth Proportional to 512.91, 707.97 and 365.97

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Solution

The fourth proportional to 512.91, 707.97 and 365.97 is: 505.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.91 : 707.97 = 365.97 : x
  2. Step 2: Convert to fraction form
    512.91/707.97 = 365.97/x
  3. Step 3: Cross multiply
    512.91x = 707.97 × 365.97
  4. Step 4: Simplify right side
    512.91x = 259,095.78
  5. Step 5: Solve for x
    x = 259,095.78/512.91
  6. Step 6: Final answer
    x = 505.15

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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.