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Finding the Fourth Proportional to 600.78, 829.19 and 379.82

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Solution

The fourth proportional to 600.78, 829.19 and 379.82 is: 524.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.78 : 829.19 = 379.82 : x
  2. Step 2: Convert to fraction form
    600.78/829.19 = 379.82/x
  3. Step 3: Cross multiply
    600.78x = 829.19 × 379.82
  4. Step 4: Simplify right side
    600.78x = 314,942.95
  5. Step 5: Solve for x
    x = 314,942.95/600.78
  6. Step 6: Final answer
    x = 524.22

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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.